What is the Greatest Common Factor of 78744 and 78753?

Greatest common factor (GCF) of 78744 and 78753 is 3.

GCF(78744,78753) = 3

We will now calculate the prime factors of 78744 and 78753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78744 and 78753.

How to find the GCF of 78744 and 78753?

We will first find the prime factorization of 78744 and 78753. After we will calculate the factors of 78744 and 78753 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 78753

Prime factors of 78753 are 3, 26251. Prime factorization of 78753 in exponential form is:

78753 = 3¹ × 26251¹

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 78753

List of positive integer factors of 78753 that divides 78744 without a remainder.

1, 3, 26251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78744 and 78753. The biggest common factor number is the GCF number.
So the greatest common factor 78744 and 78753 is 3.

Also check out the Least Common Multiple of 78744 and 78753