What is the Greatest Common Factor of 32964 and 32976?

Greatest common factor (GCF) of 32964 and 32976 is 12.

GCF(32964,32976) = 12

We will now calculate the prime factors of 32964 and 32976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32964 and 32976.

How to find the GCF of 32964 and 32976?

We will first find the prime factorization of 32964 and 32976. After we will calculate the factors of 32964 and 32976 and find the biggest common factor number .

Step-1: Prime Factorization of 32964

Prime factors of 32964 are 2, 3, 41, 67. Prime factorization of 32964 in exponential form is:

32964 = 2² × 3¹ × 41¹ × 67¹

Step-2: Prime Factorization of 32976

Prime factors of 32976 are 2, 3, 229. Prime factorization of 32976 in exponential form is:

32976 = 2⁴ × 3² × 229¹

Step-3: Factors of 32964

List of positive integer factors of 32964 that divides 32964 without a remainder.

1, 2, 3, 4, 6, 12, 41, 67, 82, 123, 134, 164, 201, 246, 268, 402, 492, 804, 2747, 5494, 8241, 10988, 16482

Step-4: Factors of 32976

List of positive integer factors of 32976 that divides 32964 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 229, 458, 687, 916, 1374, 1832, 2061, 2748, 3664, 4122, 5496, 8244, 10992, 16488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32964 and 32976. The biggest common factor number is the GCF number.
So the greatest common factor 32964 and 32976 is 12.

Also check out the Least Common Multiple of 32964 and 32976