# What is the GCF of 12 and 54?

## What is the GCF of 12 and 54?

6
Since 12 does not divide 54 and 6 does divide 54 the greatest common factor of 12 and 54 is 6.

What is the GCF of 12 and 36 using factor tree?

12
The GCF of 12 and 36 is 12. To calculate the greatest common factor (GCF) of 12 and 36, we need to factor each number (factors of 12 = 1, 2, 3, 4, 6, 12; factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest factor that exactly divides both 12 and 36, i.e., 12.

What is the prime factorization of 12 and 54?

Prime factorization of 54 and 12 is (2 × 3 × 3 × 3) = 21 × 33 and (2 × 2 × 3) = 22 × 31 respectively. LCM of 54 and 12 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 33 = 108. Hence, the LCM of 54 and 12 by prime factorization is 108.

### What are the factors of the GCF is 12?

Factors of 12 are 1, 2, 3, 4, 6 and 12 … because 2 × 6 = 12, or 4 × 3 = 12, or 1 × 12 = 12.

What is the common factor of 54 and 42?

The GCF of 42 and 54 is 6. To calculate the greatest common factor of 42 and 54, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54) and choose the greatest factor that exactly divides both 42 and 54, i.e., 6.

What is the greatest common factor of 24 and 54?

Answer: GCF of 24 and 54 is 6.

## What are the common factors of 50 and 20?

There are 4 common factors of 20 and 50, that are 1, 2, 10, and 5. Therefore, the greatest common factor of 20 and 50 is 10.

How to find the GCF and LCM in factor trees?

Factor Trees To find the GCF and LCM you first must know how to write out factor trees. The GCF is the largest number that divides into both values without a remainder. The LCM, least common multiple, is the smallest value that two or more numbers multiply into. Stay up-to-date with everything Math Hacks is up to!

How to use factor trees to find factorizations?

1 Step 1: Draw the factor trees for both numbers. 2 Step 2: Write out the prime factorizations for each. 3 Step 3: The GCF will be the prime factors that are common to both factorizations multiplied together. In this example,… More

### How to calculate the GCF of a number?

1 Draw the factor trees for both numbers. 2 Write out the prime factorizations for each. 3 The GCF will be the prime factors that are common to both factorizations multiplied together.

How to find the GCF of 120 and 45?

The GCF is the largest number that divides into both values without a remainder. Let’s find the GCF of 120 and 45. Step 1: Draw the factor trees for both numbers. Step 2: Write out the prime factorizations for each. Step 3: The GCF will be the prime factors that are common to both factorizations multiplied together.