What is the Greatest Common Factor of 96624 and 96642?

Greatest common factor (GCF) of 96624 and 96642 is 18.

GCF(96624,96642) = 18

We will now calculate the prime factors of 96624 and 96642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96624 and 96642.

How to find the GCF of 96624 and 96642?

We will first find the prime factorization of 96624 and 96642. After we will calculate the factors of 96624 and 96642 and find the biggest common factor number .

Step-1: Prime Factorization of 96624

Prime factors of 96624 are 2, 3, 11, 61. Prime factorization of 96624 in exponential form is:

96624 = 2⁴ × 3² × 11¹ × 61¹

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 96624

List of positive integer factors of 96624 that divides 96624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 61, 66, 72, 88, 99, 122, 132, 144, 176, 183, 198, 244, 264, 366, 396, 488, 528, 549, 671, 732, 792, 976, 1098, 1342, 1464, 1584, 2013, 2196, 2684, 2928, 4026, 4392, 5368, 6039, 8052, 8784, 10736, 12078, 16104, 24156, 32208, 48312

Step-4: Factors of 96642

List of positive integer factors of 96642 that divides 96624 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 96624 and 96642. The biggest common factor number is the GCF number.
So the greatest common factor 96624 and 96642 is 18.

Also check out the Least Common Multiple of 96624 and 96642