What is the Greatest Common Factor of 51262 and 51272?

Greatest common factor (GCF) of 51262 and 51272 is 2.

GCF(51262,51272) = 2

We will now calculate the prime factors of 51262 and 51272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51262 and 51272.

How to find the GCF of 51262 and 51272?

We will first find the prime factorization of 51262 and 51272. After we will calculate the factors of 51262 and 51272 and find the biggest common factor number .

Step-1: Prime Factorization of 51262

Prime factors of 51262 are 2, 19, 71. Prime factorization of 51262 in exponential form is:

51262 = 2¹ × 19² × 71¹

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 51262

List of positive integer factors of 51262 that divides 51262 without a remainder.

1, 2, 19, 38, 71, 142, 361, 722, 1349, 2698, 25631

Step-4: Factors of 51272

List of positive integer factors of 51272 that divides 51262 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 51262 and 51272. The biggest common factor number is the GCF number.
So the greatest common factor 51262 and 51272 is 2.

Also check out the Least Common Multiple of 51262 and 51272