What is the Greatest Common Factor of 96642 and 96657?

Greatest common factor (GCF) of 96642 and 96657 is 3.

GCF(96642,96657) = 3

We will now calculate the prime factors of 96642 and 96657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96642 and 96657.

How to find the GCF of 96642 and 96657?

We will first find the prime factorization of 96642 and 96657. After we will calculate the factors of 96642 and 96657 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 96657

Prime factors of 96657 are 3, 11, 29, 101. Prime factorization of 96657 in exponential form is:

96657 = 3¹ × 11¹ × 29¹ × 101¹

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 96657

List of positive integer factors of 96657 that divides 96642 without a remainder.

1, 3, 11, 29, 33, 87, 101, 303, 319, 957, 1111, 2929, 3333, 8787, 32219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96642 and 96657. The biggest common factor number is the GCF number.
So the greatest common factor 96642 and 96657 is 3.

Also check out the Least Common Multiple of 96642 and 96657