What is the Greatest Common Factor of 36672 and 36678?

Greatest common factor (GCF) of 36672 and 36678 is 6.

GCF(36672,36678) = 6

We will now calculate the prime factors of 36672 and 36678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36672 and 36678.

How to find the GCF of 36672 and 36678?

We will first find the prime factorization of 36672 and 36678. After we will calculate the factors of 36672 and 36678 and find the biggest common factor number .

Step-1: Prime Factorization of 36672

Prime factors of 36672 are 2, 3, 191. Prime factorization of 36672 in exponential form is:

36672 = 2⁶ × 3¹ × 191¹

Step-2: Prime Factorization of 36678

Prime factors of 36678 are 2, 3, 6113. Prime factorization of 36678 in exponential form is:

36678 = 2¹ × 3¹ × 6113¹

Step-3: Factors of 36672

List of positive integer factors of 36672 that divides 36672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 191, 192, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168, 12224, 18336

Step-4: Factors of 36678

List of positive integer factors of 36678 that divides 36672 without a remainder.

1, 2, 3, 6, 6113, 12226, 18339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36672 and 36678. The biggest common factor number is the GCF number.
So the greatest common factor 36672 and 36678 is 6.

Also check out the Least Common Multiple of 36672 and 36678