What is the Greatest Common Factor of 36672 and 36691?

Greatest common factor (GCF) of 36672 and 36691 is 1.

GCF(36672,36691) = 1

We will now calculate the prime factors of 36672 and 36691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36672 and 36691.

How to find the GCF of 36672 and 36691?

We will first find the prime factorization of 36672 and 36691. After we will calculate the factors of 36672 and 36691 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 36691

Prime factors of 36691 are 36691. Prime factorization of 36691 in exponential form is:

36691 = 36691¹

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 36691

List of positive integer factors of 36691 that divides 36672 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36672 and 36691. The biggest common factor number is the GCF number.
So the greatest common factor 36672 and 36691 is 1.

Also check out the Least Common Multiple of 36672 and 36691