What is the Greatest Common Factor of 68256 and 68271?

Greatest common factor (GCF) of 68256 and 68271 is 3.

GCF(68256,68271) = 3

We will now calculate the prime factors of 68256 and 68271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68256 and 68271.

How to find the GCF of 68256 and 68271?

We will first find the prime factorization of 68256 and 68271. After we will calculate the factors of 68256 and 68271 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 68271

Prime factors of 68271 are 3, 7, 3251. Prime factorization of 68271 in exponential form is:

68271 = 3¹ × 7¹ × 3251¹

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 68271

List of positive integer factors of 68271 that divides 68256 without a remainder.

1, 3, 7, 21, 3251, 9753, 22757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68256 and 68271. The biggest common factor number is the GCF number.
So the greatest common factor 68256 and 68271 is 3.

Also check out the Least Common Multiple of 68256 and 68271