What is the Greatest Common Factor of 51264 and 51276?

Greatest common factor (GCF) of 51264 and 51276 is 12.

GCF(51264,51276) = 12

We will now calculate the prime factors of 51264 and 51276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51264 and 51276.

How to find the GCF of 51264 and 51276?

We will first find the prime factorization of 51264 and 51276. After we will calculate the factors of 51264 and 51276 and find the biggest common factor number .

Step-1: Prime Factorization of 51264

Prime factors of 51264 are 2, 3, 89. Prime factorization of 51264 in exponential form is:

51264 = 2⁶ × 3² × 89¹

Step-2: Prime Factorization of 51276

Prime factors of 51276 are 2, 3, 4273. Prime factorization of 51276 in exponential form is:

51276 = 2² × 3¹ × 4273¹

Step-3: Factors of 51264

List of positive integer factors of 51264 that divides 51264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 89, 96, 144, 178, 192, 267, 288, 356, 534, 576, 712, 801, 1068, 1424, 1602, 2136, 2848, 3204, 4272, 5696, 6408, 8544, 12816, 17088, 25632

Step-4: Factors of 51276

List of positive integer factors of 51276 that divides 51264 without a remainder.

1, 2, 3, 4, 6, 12, 4273, 8546, 12819, 17092, 25638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51264 and 51276. The biggest common factor number is the GCF number.
So the greatest common factor 51264 and 51276 is 12.

Also check out the Least Common Multiple of 51264 and 51276