What is the Greatest Common Factor of 36672 and 36677?

Greatest common factor (GCF) of 36672 and 36677 is 1.

GCF(36672,36677) = 1

We will now calculate the prime factors of 36672 and 36677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36672 and 36677.

How to find the GCF of 36672 and 36677?

We will first find the prime factorization of 36672 and 36677. After we will calculate the factors of 36672 and 36677 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 36677

Prime factors of 36677 are 36677. Prime factorization of 36677 in exponential form is:

36677 = 36677¹

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 36677

List of positive integer factors of 36677 that divides 36672 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36672 and 36677. The biggest common factor number is the GCF number.
So the greatest common factor 36672 and 36677 is 1.

Also check out the Least Common Multiple of 36672 and 36677