What is the Greatest Common Factor of 78728 and 78744?

Greatest common factor (GCF) of 78728 and 78744 is 8.

GCF(78728,78744) = 8

We will now calculate the prime factors of 78728 and 78744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78728 and 78744.

How to find the GCF of 78728 and 78744?

We will first find the prime factorization of 78728 and 78744. After we will calculate the factors of 78728 and 78744 and find the biggest common factor number .

Step-1: Prime Factorization of 78728

Prime factors of 78728 are 2, 13, 757. Prime factorization of 78728 in exponential form is:

78728 = 2³ × 13¹ × 757¹

Step-2: 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-3: Factors of 78728

List of positive integer factors of 78728 that divides 78728 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 757, 1514, 3028, 6056, 9841, 19682, 39364

Step-4: Factors of 78744

List of positive integer factors of 78744 that divides 78728 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78728 and 78744. The biggest common factor number is the GCF number.
So the greatest common factor 78728 and 78744 is 8.

Also check out the Least Common Multiple of 78728 and 78744