What is the Greatest Common Factor of 68349 and 68364?

Greatest common factor (GCF) of 68349 and 68364 is 3.

GCF(68349,68364) = 3

We will now calculate the prime factors of 68349 and 68364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68349 and 68364.

How to find the GCF of 68349 and 68364?

We will first find the prime factorization of 68349 and 68364. After we will calculate the factors of 68349 and 68364 and find the biggest common factor number .

Step-1: Prime Factorization of 68349

Prime factors of 68349 are 3, 22783. Prime factorization of 68349 in exponential form is:

68349 = 3¹ × 22783¹

Step-2: 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-3: Factors of 68349

List of positive integer factors of 68349 that divides 68349 without a remainder.

1, 3, 22783

Step-4: Factors of 68364

List of positive integer factors of 68364 that divides 68349 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68349 and 68364. The biggest common factor number is the GCF number.
So the greatest common factor 68349 and 68364 is 3.

Also check out the Least Common Multiple of 68349 and 68364