What is the Greatest Common Factor of 80952 and 80964?

Greatest common factor (GCF) of 80952 and 80964 is 12.

GCF(80952,80964) = 12

We will now calculate the prime factors of 80952 and 80964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80952 and 80964.

How to find the GCF of 80952 and 80964?

We will first find the prime factorization of 80952 and 80964. After we will calculate the factors of 80952 and 80964 and find the biggest common factor number .

Step-1: Prime Factorization of 80952

Prime factors of 80952 are 2, 3, 3373. Prime factorization of 80952 in exponential form is:

80952 = 2³ × 3¹ × 3373¹

Step-2: Prime Factorization of 80964

Prime factors of 80964 are 2, 3, 13, 173. Prime factorization of 80964 in exponential form is:

80964 = 2² × 3² × 13¹ × 173¹

Step-3: Factors of 80952

List of positive integer factors of 80952 that divides 80952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3373, 6746, 10119, 13492, 20238, 26984, 40476

Step-4: Factors of 80964

List of positive integer factors of 80964 that divides 80952 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 173, 234, 346, 468, 519, 692, 1038, 1557, 2076, 2249, 3114, 4498, 6228, 6747, 8996, 13494, 20241, 26988, 40482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80952 and 80964. The biggest common factor number is the GCF number.
So the greatest common factor 80952 and 80964 is 12.

Also check out the Least Common Multiple of 80952 and 80964