What is the Greatest Common Factor of 32964 and 32971?

Greatest common factor (GCF) of 32964 and 32971 is 1.

GCF(32964,32971) = 1

We will now calculate the prime factors of 32964 and 32971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32964 and 32971.

How to find the GCF of 32964 and 32971?

We will first find the prime factorization of 32964 and 32971. After we will calculate the factors of 32964 and 32971 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 32971

Prime factors of 32971 are 32971. Prime factorization of 32971 in exponential form is:

32971 = 32971¹

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 32971

List of positive integer factors of 32971 that divides 32964 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32964 and 32971. The biggest common factor number is the GCF number.
So the greatest common factor 32964 and 32971 is 1.

Also check out the Least Common Multiple of 32964 and 32971