What is the Greatest Common Factor of 68364 and 68372?

Greatest common factor (GCF) of 68364 and 68372 is 4.

GCF(68364,68372) = 4

We will now calculate the prime factors of 68364 and 68372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68364 and 68372.

How to find the GCF of 68364 and 68372?

We will first find the prime factorization of 68364 and 68372. After we will calculate the factors of 68364 and 68372 and find the biggest common factor number .

Step-1: Prime Factorization of 68364

Prime factors of 68364 are 2, 3, 211. Prime factorization of 68364 in exponential form is:

68364 = 2² × 3⁴ × 211¹

Step-2: Prime Factorization of 68372

Prime factors of 68372 are 2, 17093. Prime factorization of 68372 in exponential form is:

68372 = 2² × 17093¹

Step-3: Factors of 68364

List of positive integer factors of 68364 that divides 68364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 211, 324, 422, 633, 844, 1266, 1899, 2532, 3798, 5697, 7596, 11394, 17091, 22788, 34182

Step-4: Factors of 68372

List of positive integer factors of 68372 that divides 68364 without a remainder.

1, 2, 4, 17093, 34186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68364 and 68372. The biggest common factor number is the GCF number.
So the greatest common factor 68364 and 68372 is 4.

Also check out the Least Common Multiple of 68364 and 68372