What is the Greatest Common Factor of 51272 and 51288?

Greatest common factor (GCF) of 51272 and 51288 is 8.

GCF(51272,51288) = 8

We will now calculate the prime factors of 51272 and 51288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51272 and 51288.

How to find the GCF of 51272 and 51288?

We will first find the prime factorization of 51272 and 51288. After we will calculate the factors of 51272 and 51288 and find the biggest common factor number .

Step-1: Prime Factorization of 51272

Prime factors of 51272 are 2, 13, 17, 29. Prime factorization of 51272 in exponential form is:

51272 = 2³ × 13¹ × 17¹ × 29¹

Step-2: Prime Factorization of 51288

Prime factors of 51288 are 2, 3, 2137. Prime factorization of 51288 in exponential form is:

51288 = 2³ × 3¹ × 2137¹

Step-3: Factors of 51272

List of positive integer factors of 51272 that divides 51272 without a remainder.

1, 2, 4, 8, 13, 17, 26, 29, 34, 52, 58, 68, 104, 116, 136, 221, 232, 377, 442, 493, 754, 884, 986, 1508, 1768, 1972, 3016, 3944, 6409, 12818, 25636

Step-4: Factors of 51288

List of positive integer factors of 51288 that divides 51272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2137, 4274, 6411, 8548, 12822, 17096, 25644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51272 and 51288. The biggest common factor number is the GCF number.
So the greatest common factor 51272 and 51288 is 8.

Also check out the Least Common Multiple of 51272 and 51288