What is the Greatest Common Factor of 51212 and 51226?

Greatest common factor (GCF) of 51212 and 51226 is 14.

GCF(51212,51226) = 14

We will now calculate the prime factors of 51212 and 51226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51212 and 51226.

How to find the GCF of 51212 and 51226?

We will first find the prime factorization of 51212 and 51226. After we will calculate the factors of 51212 and 51226 and find the biggest common factor number .

Step-1: Prime Factorization of 51212

Prime factors of 51212 are 2, 7, 31, 59. Prime factorization of 51212 in exponential form is:

51212 = 2² × 7¹ × 31¹ × 59¹

Step-2: Prime Factorization of 51226

Prime factors of 51226 are 2, 7, 3659. Prime factorization of 51226 in exponential form is:

51226 = 2¹ × 7¹ × 3659¹

Step-3: Factors of 51212

List of positive integer factors of 51212 that divides 51212 without a remainder.

1, 2, 4, 7, 14, 28, 31, 59, 62, 118, 124, 217, 236, 413, 434, 826, 868, 1652, 1829, 3658, 7316, 12803, 25606

Step-4: Factors of 51226

List of positive integer factors of 51226 that divides 51212 without a remainder.

1, 2, 7, 14, 3659, 7318, 25613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51212 and 51226. The biggest common factor number is the GCF number.
So the greatest common factor 51212 and 51226 is 14.

Also check out the Least Common Multiple of 51212 and 51226