What is the Greatest Common Factor of 36672 and 36676?

Greatest common factor (GCF) of 36672 and 36676 is 4.

GCF(36672,36676) = 4

We will now calculate the prime factors of 36672 and 36676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36672 and 36676.

How to find the GCF of 36672 and 36676?

We will first find the prime factorization of 36672 and 36676. After we will calculate the factors of 36672 and 36676 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 36676

Prime factors of 36676 are 2, 53, 173. Prime factorization of 36676 in exponential form is:

36676 = 2² × 53¹ × 173¹

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 36676

List of positive integer factors of 36676 that divides 36672 without a remainder.

1, 2, 4, 53, 106, 173, 212, 346, 692, 9169, 18338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36672 and 36676. The biggest common factor number is the GCF number.
So the greatest common factor 36672 and 36676 is 4.

Also check out the Least Common Multiple of 36672 and 36676