What is the Greatest Common Factor of 96642 and 96656?

Greatest common factor (GCF) of 96642 and 96656 is 14.

GCF(96642,96656) = 14

We will now calculate the prime factors of 96642 and 96656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96642 and 96656.

How to find the GCF of 96642 and 96656?

We will first find the prime factorization of 96642 and 96656. After we will calculate the factors of 96642 and 96656 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96656

Prime factors of 96656 are 2, 7, 863. Prime factorization of 96656 in exponential form is:

96656 = 2⁴ × 7¹ × 863¹

Step-3: Factors of 96642

List of positive integer factors of 96642 that divides 96642 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

Step-4: Factors of 96656

List of positive integer factors of 96656 that divides 96642 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 863, 1726, 3452, 6041, 6904, 12082, 13808, 24164, 48328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96642 and 96656. The biggest common factor number is the GCF number.
So the greatest common factor 96642 and 96656 is 14.

Also check out the Least Common Multiple of 96642 and 96656