What is the Greatest Common Factor of 51259 and 51272?

Greatest common factor (GCF) of 51259 and 51272 is 13.

GCF(51259,51272) = 13

We will now calculate the prime factors of 51259 and 51272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51259 and 51272.

How to find the GCF of 51259 and 51272?

We will first find the prime factorization of 51259 and 51272. After we will calculate the factors of 51259 and 51272 and find the biggest common factor number .

Step-1: Prime Factorization of 51259

Prime factors of 51259 are 13, 3943. Prime factorization of 51259 in exponential form is:

51259 = 13¹ × 3943¹

Step-2: 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-3: Factors of 51259

List of positive integer factors of 51259 that divides 51259 without a remainder.

1, 13, 3943

Step-4: Factors of 51272

List of positive integer factors of 51272 that divides 51259 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51259 and 51272. The biggest common factor number is the GCF number.
So the greatest common factor 51259 and 51272 is 13.

Also check out the Least Common Multiple of 51259 and 51272