What is the Greatest Common Factor of 80964 and 80968?

Greatest common factor (GCF) of 80964 and 80968 is 4.

GCF(80964,80968) = 4

We will now calculate the prime factors of 80964 and 80968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80964 and 80968.

How to find the GCF of 80964 and 80968?

We will first find the prime factorization of 80964 and 80968. After we will calculate the factors of 80964 and 80968 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 80968

Prime factors of 80968 are 2, 29, 349. Prime factorization of 80968 in exponential form is:

80968 = 2³ × 29¹ × 349¹

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 80968

List of positive integer factors of 80968 that divides 80964 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 349, 698, 1396, 2792, 10121, 20242, 40484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80964 and 80968. The biggest common factor number is the GCF number.
So the greatest common factor 80964 and 80968 is 4.

Also check out the Least Common Multiple of 80964 and 80968