What is the Greatest Common Factor of 78744 and 78764?

Greatest common factor (GCF) of 78744 and 78764 is 4.

GCF(78744,78764) = 4

We will now calculate the prime factors of 78744 and 78764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78744 and 78764.

How to find the GCF of 78744 and 78764?

We will first find the prime factorization of 78744 and 78764. After we will calculate the factors of 78744 and 78764 and find the biggest common factor number .

Step-1: Prime Factorization of 78744

Prime factors of 78744 are 2, 3, 17, 193. Prime factorization of 78744 in exponential form is:

78744 = 2³ × 3¹ × 17¹ × 193¹

Step-2: Prime Factorization of 78764

Prime factors of 78764 are 2, 7, 29, 97. Prime factorization of 78764 in exponential form is:

78764 = 2² × 7¹ × 29¹ × 97¹

Step-3: Factors of 78744

List of positive integer factors of 78744 that divides 78744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 193, 204, 386, 408, 579, 772, 1158, 1544, 2316, 3281, 4632, 6562, 9843, 13124, 19686, 26248, 39372

Step-4: Factors of 78764

List of positive integer factors of 78764 that divides 78744 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 97, 116, 194, 203, 388, 406, 679, 812, 1358, 2716, 2813, 5626, 11252, 19691, 39382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78744 and 78764. The biggest common factor number is the GCF number.
So the greatest common factor 78744 and 78764 is 4.

Also check out the Least Common Multiple of 78744 and 78764