What is the Greatest Common Factor of 78744 and 78758?

Greatest common factor (GCF) of 78744 and 78758 is 2.

GCF(78744,78758) = 2

We will now calculate the prime factors of 78744 and 78758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78744 and 78758.

How to find the GCF of 78744 and 78758?

We will first find the prime factorization of 78744 and 78758. After we will calculate the factors of 78744 and 78758 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 78758

Prime factors of 78758 are 2, 53, 743. Prime factorization of 78758 in exponential form is:

78758 = 2¹ × 53¹ × 743¹

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 78758

List of positive integer factors of 78758 that divides 78744 without a remainder.

1, 2, 53, 106, 743, 1486, 39379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78744 and 78758. The biggest common factor number is the GCF number.
So the greatest common factor 78744 and 78758 is 2.

Also check out the Least Common Multiple of 78744 and 78758