What is the Greatest Common Factor of 94612 and 94626?

Greatest common factor (GCF) of 94612 and 94626 is 14.

GCF(94612,94626) = 14

We will now calculate the prime factors of 94612 and 94626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94612 and 94626.

How to find the GCF of 94612 and 94626?

We will first find the prime factorization of 94612 and 94626. After we will calculate the factors of 94612 and 94626 and find the biggest common factor number .

Step-1: Prime Factorization of 94612

Prime factors of 94612 are 2, 7, 31, 109. Prime factorization of 94612 in exponential form is:

94612 = 2² × 7¹ × 31¹ × 109¹

Step-2: Prime Factorization of 94626

Prime factors of 94626 are 2, 3, 7, 751. Prime factorization of 94626 in exponential form is:

94626 = 2¹ × 3² × 7¹ × 751¹

Step-3: Factors of 94612

List of positive integer factors of 94612 that divides 94612 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 109, 124, 217, 218, 434, 436, 763, 868, 1526, 3052, 3379, 6758, 13516, 23653, 47306

Step-4: Factors of 94626

List of positive integer factors of 94626 that divides 94612 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 751, 1502, 2253, 4506, 5257, 6759, 10514, 13518, 15771, 31542, 47313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94612 and 94626. The biggest common factor number is the GCF number.
So the greatest common factor 94612 and 94626 is 14.

Also check out the Least Common Multiple of 94612 and 94626