What is the Greatest Common Factor of 78620 and 78624?

Greatest common factor (GCF) of 78620 and 78624 is 4.

GCF(78620,78624) = 4

We will now calculate the prime factors of 78620 and 78624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78620 and 78624.

How to find the GCF of 78620 and 78624?

We will first find the prime factorization of 78620 and 78624. After we will calculate the factors of 78620 and 78624 and find the biggest common factor number .

Step-1: Prime Factorization of 78620

Prime factors of 78620 are 2, 5, 3931. Prime factorization of 78620 in exponential form is:

78620 = 2² × 5¹ × 3931¹

Step-2: 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-3: Factors of 78620

List of positive integer factors of 78620 that divides 78620 without a remainder.

1, 2, 4, 5, 10, 20, 3931, 7862, 15724, 19655, 39310

Step-4: Factors of 78624

List of positive integer factors of 78624 that divides 78620 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78620 and 78624. The biggest common factor number is the GCF number.
So the greatest common factor 78620 and 78624 is 4.

Also check out the Least Common Multiple of 78620 and 78624