What is the Greatest Common Factor of 96614 and 96628?

Greatest common factor (GCF) of 96614 and 96628 is 14.

GCF(96614,96628) = 14

We will now calculate the prime factors of 96614 and 96628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96614 and 96628.

How to find the GCF of 96614 and 96628?

We will first find the prime factorization of 96614 and 96628. After we will calculate the factors of 96614 and 96628 and find the biggest common factor number .

Step-1: Prime Factorization of 96614

Prime factors of 96614 are 2, 7, 67, 103. Prime factorization of 96614 in exponential form is:

96614 = 2¹ × 7¹ × 67¹ × 103¹

Step-2: Prime Factorization of 96628

Prime factors of 96628 are 2, 7, 17, 29. Prime factorization of 96628 in exponential form is:

96628 = 2² × 7² × 17¹ × 29¹

Step-3: Factors of 96614

List of positive integer factors of 96614 that divides 96614 without a remainder.

1, 2, 7, 14, 67, 103, 134, 206, 469, 721, 938, 1442, 6901, 13802, 48307

Step-4: Factors of 96628

List of positive integer factors of 96628 that divides 96614 without a remainder.

1, 2, 4, 7, 14, 17, 28, 29, 34, 49, 58, 68, 98, 116, 119, 196, 203, 238, 406, 476, 493, 812, 833, 986, 1421, 1666, 1972, 2842, 3332, 3451, 5684, 6902, 13804, 24157, 48314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96614 and 96628. The biggest common factor number is the GCF number.
So the greatest common factor 96614 and 96628 is 14.

Also check out the Least Common Multiple of 96614 and 96628