What is the Greatest Common Factor of 51255 and 51272?

Greatest common factor (GCF) of 51255 and 51272 is 17.

GCF(51255,51272) = 17

We will now calculate the prime factors of 51255 and 51272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51255 and 51272.

How to find the GCF of 51255 and 51272?

We will first find the prime factorization of 51255 and 51272. After we will calculate the factors of 51255 and 51272 and find the biggest common factor number .

Step-1: Prime Factorization of 51255

Prime factors of 51255 are 3, 5, 17, 67. Prime factorization of 51255 in exponential form is:

51255 = 3² × 5¹ × 17¹ × 67¹

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 51255

List of positive integer factors of 51255 that divides 51255 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 67, 85, 153, 201, 255, 335, 603, 765, 1005, 1139, 3015, 3417, 5695, 10251, 17085

Step-4: Factors of 51272

List of positive integer factors of 51272 that divides 51255 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 51255 and 51272. The biggest common factor number is the GCF number.
So the greatest common factor 51255 and 51272 is 17.

Also check out the Least Common Multiple of 51255 and 51272