What is the Greatest Common Factor of 96627 and 96642?

Greatest common factor (GCF) of 96627 and 96642 is 3.

GCF(96627,96642) = 3

We will now calculate the prime factors of 96627 and 96642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96627 and 96642.

How to find the GCF of 96627 and 96642?

We will first find the prime factorization of 96627 and 96642. After we will calculate the factors of 96627 and 96642 and find the biggest common factor number .

Step-1: Prime Factorization of 96627

Prime factors of 96627 are 3, 31, 1039. Prime factorization of 96627 in exponential form is:

96627 = 3¹ × 31¹ × 1039¹

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 96627

List of positive integer factors of 96627 that divides 96627 without a remainder.

1, 3, 31, 93, 1039, 3117, 32209

Step-4: Factors of 96642

List of positive integer factors of 96642 that divides 96627 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 96627 and 96642. The biggest common factor number is the GCF number.
So the greatest common factor 96627 and 96642 is 3.

Also check out the Least Common Multiple of 96627 and 96642