What is the Greatest Common Factor of 51226 and 51238?

Greatest common factor (GCF) of 51226 and 51238 is 2.

GCF(51226,51238) = 2

We will now calculate the prime factors of 51226 and 51238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51226 and 51238.

How to find the GCF of 51226 and 51238?

We will first find the prime factorization of 51226 and 51238. After we will calculate the factors of 51226 and 51238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51238

Prime factors of 51238 are 2, 11, 17, 137. Prime factorization of 51238 in exponential form is:

51238 = 2¹ × 11¹ × 17¹ × 137¹

Step-3: Factors of 51226

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

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

Step-4: Factors of 51238

List of positive integer factors of 51238 that divides 51226 without a remainder.

1, 2, 11, 17, 22, 34, 137, 187, 274, 374, 1507, 2329, 3014, 4658, 25619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51226 and 51238. The biggest common factor number is the GCF number.
So the greatest common factor 51226 and 51238 is 2.

Also check out the Least Common Multiple of 51226 and 51238