What is the Greatest Common Factor of 80964 and 80976?

Greatest common factor (GCF) of 80964 and 80976 is 12.

GCF(80964,80976) = 12

We will now calculate the prime factors of 80964 and 80976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80964 and 80976.

How to find the GCF of 80964 and 80976?

We will first find the prime factorization of 80964 and 80976. After we will calculate the factors of 80964 and 80976 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80976

Prime factors of 80976 are 2, 3, 7, 241. Prime factorization of 80976 in exponential form is:

80976 = 2⁴ × 3¹ × 7¹ × 241¹

Step-3: Factors of 80964

List of positive integer factors of 80964 that divides 80964 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

Step-4: Factors of 80976

List of positive integer factors of 80976 that divides 80964 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 241, 336, 482, 723, 964, 1446, 1687, 1928, 2892, 3374, 3856, 5061, 5784, 6748, 10122, 11568, 13496, 20244, 26992, 40488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80964 and 80976. The biggest common factor number is the GCF number.
So the greatest common factor 80964 and 80976 is 12.

Also check out the Least Common Multiple of 80964 and 80976