What is the Greatest Common Factor of 51272 and 51280?

Greatest common factor (GCF) of 51272 and 51280 is 8.

GCF(51272,51280) = 8

We will now calculate the prime factors of 51272 and 51280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51272 and 51280.

How to find the GCF of 51272 and 51280?

We will first find the prime factorization of 51272 and 51280. After we will calculate the factors of 51272 and 51280 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 51280

Prime factors of 51280 are 2, 5, 641. Prime factorization of 51280 in exponential form is:

51280 = 2⁴ × 5¹ × 641¹

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 51280

List of positive integer factors of 51280 that divides 51272 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 641, 1282, 2564, 3205, 5128, 6410, 10256, 12820, 25640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51272 and 51280. The biggest common factor number is the GCF number.
So the greatest common factor 51272 and 51280 is 8.

Also check out the Least Common Multiple of 51272 and 51280