What is the Greatest Common Factor of 80944 and 80964?

Greatest common factor (GCF) of 80944 and 80964 is 4.

GCF(80944,80964) = 4

We will now calculate the prime factors of 80944 and 80964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80944 and 80964.

How to find the GCF of 80944 and 80964?

We will first find the prime factorization of 80944 and 80964. After we will calculate the factors of 80944 and 80964 and find the biggest common factor number .

Step-1: Prime Factorization of 80944

Prime factors of 80944 are 2, 5059. Prime factorization of 80944 in exponential form is:

80944 = 2⁴ × 5059¹

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 80944

List of positive integer factors of 80944 that divides 80944 without a remainder.

1, 2, 4, 8, 16, 5059, 10118, 20236, 40472

Step-4: Factors of 80964

List of positive integer factors of 80964 that divides 80944 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 80944 and 80964. The biggest common factor number is the GCF number.
So the greatest common factor 80944 and 80964 is 4.

Also check out the Least Common Multiple of 80944 and 80964