What is the Greatest Common Factor of 68256 and 68268?

Greatest common factor (GCF) of 68256 and 68268 is 12.

GCF(68256,68268) = 12

We will now calculate the prime factors of 68256 and 68268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68256 and 68268.

How to find the GCF of 68256 and 68268?

We will first find the prime factorization of 68256 and 68268. After we will calculate the factors of 68256 and 68268 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 68268

Prime factors of 68268 are 2, 3, 5689. Prime factorization of 68268 in exponential form is:

68268 = 2² × 3¹ × 5689¹

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 68268

List of positive integer factors of 68268 that divides 68256 without a remainder.

1, 2, 3, 4, 6, 12, 5689, 11378, 17067, 22756, 34134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68256 and 68268. The biggest common factor number is the GCF number.
So the greatest common factor 68256 and 68268 is 12.

Also check out the Least Common Multiple of 68256 and 68268