What is the Greatest Common Factor of 96628 and 96642?

Greatest common factor (GCF) of 96628 and 96642 is 14.

GCF(96628,96642) = 14

We will now calculate the prime factors of 96628 and 96642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96628 and 96642.

How to find the GCF of 96628 and 96642?

We will first find the prime factorization of 96628 and 96642. After we will calculate the factors of 96628 and 96642 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96642

Prime factors of 96642 are 2, 3, 7, 13, 59. Prime factorization of 96642 in exponential form is:

96642 = 2¹ × 3² × 7¹ × 13¹ × 59¹

Step-3: Factors of 96628

List of positive integer factors of 96628 that divides 96628 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

Step-4: Factors of 96642

List of positive integer factors of 96642 that divides 96628 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 59, 63, 78, 91, 117, 118, 126, 177, 182, 234, 273, 354, 413, 531, 546, 767, 819, 826, 1062, 1239, 1534, 1638, 2301, 2478, 3717, 4602, 5369, 6903, 7434, 10738, 13806, 16107, 32214, 48321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96628 and 96642. The biggest common factor number is the GCF number.
So the greatest common factor 96628 and 96642 is 14.

Also check out the Least Common Multiple of 96628 and 96642