What is the Greatest Common Factor of 61226 and 61237?

Greatest common factor (GCF) of 61226 and 61237 is 11.

GCF(61226,61237) = 11

We will now calculate the prime factors of 61226 and 61237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61226 and 61237.

How to find the GCF of 61226 and 61237?

We will first find the prime factorization of 61226 and 61237. After we will calculate the factors of 61226 and 61237 and find the biggest common factor number .

Step-1: Prime Factorization of 61226

Prime factors of 61226 are 2, 11, 23. Prime factorization of 61226 in exponential form is:

61226 = 2¹ × 11³ × 23¹

Step-2: Prime Factorization of 61237

Prime factors of 61237 are 11, 19, 293. Prime factorization of 61237 in exponential form is:

61237 = 11¹ × 19¹ × 293¹

Step-3: Factors of 61226

List of positive integer factors of 61226 that divides 61226 without a remainder.

1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 1331, 2662, 2783, 5566, 30613

Step-4: Factors of 61237

List of positive integer factors of 61237 that divides 61226 without a remainder.

1, 11, 19, 209, 293, 3223, 5567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61226 and 61237. The biggest common factor number is the GCF number.
So the greatest common factor 61226 and 61237 is 11.

Also check out the Least Common Multiple of 61226 and 61237