What is the Greatest Common Factor of 78624 and 78639?

Greatest common factor (GCF) of 78624 and 78639 is 3.

GCF(78624,78639) = 3

We will now calculate the prime factors of 78624 and 78639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78624 and 78639.

How to find the GCF of 78624 and 78639?

We will first find the prime factorization of 78624 and 78639. After we will calculate the factors of 78624 and 78639 and find the biggest common factor number .

Step-1: Prime Factorization of 78624

Prime factors of 78624 are 2, 3, 7, 13. Prime factorization of 78624 in exponential form is:

78624 = 2⁵ × 3³ × 7¹ × 13¹

Step-2: Prime Factorization of 78639

Prime factors of 78639 are 3, 11, 2383. Prime factorization of 78639 in exponential form is:

78639 = 3¹ × 11¹ × 2383¹

Step-3: Factors of 78624

List of positive integer factors of 78624 that divides 78624 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 27, 28, 32, 36, 39, 42, 48, 52, 54, 56, 63, 72, 78, 84, 91, 96, 104, 108, 112, 117, 126, 144, 156, 168, 182, 189, 208, 216, 224, 234, 252, 273, 288, 312, 336, 351, 364, 378, 416, 432, 468, 504, 546, 624, 672, 702, 728, 756, 819, 864, 936, 1008, 1092, 1248, 1404, 1456, 1512, 1638, 1872, 2016, 2184, 2457, 2808, 2912, 3024, 3276, 3744, 4368, 4914, 5616, 6048, 6552, 8736, 9828, 11232, 13104, 19656, 26208, 39312

Step-4: Factors of 78639

List of positive integer factors of 78639 that divides 78624 without a remainder.

1, 3, 11, 33, 2383, 7149, 26213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78624 and 78639. The biggest common factor number is the GCF number.
So the greatest common factor 78624 and 78639 is 3.

Also check out the Least Common Multiple of 78624 and 78639