What is the Greatest Common Factor of 61612 and 61626?

Greatest common factor (GCF) of 61612 and 61626 is 2.

GCF(61612,61626) = 2

We will now calculate the prime factors of 61612 and 61626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61612 and 61626.

How to find the GCF of 61612 and 61626?

We will first find the prime factorization of 61612 and 61626. After we will calculate the factors of 61612 and 61626 and find the biggest common factor number .

Step-1: Prime Factorization of 61612

Prime factors of 61612 are 2, 73, 211. Prime factorization of 61612 in exponential form is:

61612 = 2² × 73¹ × 211¹

Step-2: Prime Factorization of 61626

Prime factors of 61626 are 2, 3, 10271. Prime factorization of 61626 in exponential form is:

61626 = 2¹ × 3¹ × 10271¹

Step-3: Factors of 61612

List of positive integer factors of 61612 that divides 61612 without a remainder.

1, 2, 4, 73, 146, 211, 292, 422, 844, 15403, 30806

Step-4: Factors of 61626

List of positive integer factors of 61626 that divides 61612 without a remainder.

1, 2, 3, 6, 10271, 20542, 30813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61612 and 61626. The biggest common factor number is the GCF number.
So the greatest common factor 61612 and 61626 is 2.

Also check out the Least Common Multiple of 61612 and 61626