What is the Greatest Common Factor of 68256 and 68274?

Greatest common factor (GCF) of 68256 and 68274 is 18.

GCF(68256,68274) = 18

We will now calculate the prime factors of 68256 and 68274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68256 and 68274.

How to find the GCF of 68256 and 68274?

We will first find the prime factorization of 68256 and 68274. After we will calculate the factors of 68256 and 68274 and find the biggest common factor number .

Step-1: Prime Factorization of 68256

Prime factors of 68256 are 2, 3, 79. Prime factorization of 68256 in exponential form is:

68256 = 2⁵ × 3³ × 79¹

Step-2: Prime Factorization of 68274

Prime factors of 68274 are 2, 3, 3793. Prime factorization of 68274 in exponential form is:

68274 = 2¹ × 3² × 3793¹

Step-3: Factors of 68256

List of positive integer factors of 68256 that divides 68256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 79, 96, 108, 144, 158, 216, 237, 288, 316, 432, 474, 632, 711, 864, 948, 1264, 1422, 1896, 2133, 2528, 2844, 3792, 4266, 5688, 7584, 8532, 11376, 17064, 22752, 34128

Step-4: Factors of 68274

List of positive integer factors of 68274 that divides 68256 without a remainder.

1, 2, 3, 6, 9, 18, 3793, 7586, 11379, 22758, 34137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68256 and 68274. The biggest common factor number is the GCF number.
So the greatest common factor 68256 and 68274 is 18.

Also check out the Least Common Multiple of 68256 and 68274