What is the Greatest Common Factor of 32964 and 32968?

Greatest common factor (GCF) of 32964 and 32968 is 4.

GCF(32964,32968) = 4

We will now calculate the prime factors of 32964 and 32968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32964 and 32968.

How to find the GCF of 32964 and 32968?

We will first find the prime factorization of 32964 and 32968. After we will calculate the factors of 32964 and 32968 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 32968

Prime factors of 32968 are 2, 13, 317. Prime factorization of 32968 in exponential form is:

32968 = 2³ × 13¹ × 317¹

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 32968

List of positive integer factors of 32968 that divides 32964 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 317, 634, 1268, 2536, 4121, 8242, 16484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32964 and 32968. The biggest common factor number is the GCF number.
So the greatest common factor 32964 and 32968 is 4.

Also check out the Least Common Multiple of 32964 and 32968