What is the Greatest Common Factor of 78744 and 78750?

Greatest common factor (GCF) of 78744 and 78750 is 6.

GCF(78744,78750) = 6

We will now calculate the prime factors of 78744 and 78750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78744 and 78750.

How to find the GCF of 78744 and 78750?

We will first find the prime factorization of 78744 and 78750. After we will calculate the factors of 78744 and 78750 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 78750

Prime factors of 78750 are 2, 3, 5, 7. Prime factorization of 78750 in exponential form is:

78750 = 2¹ × 3² × 5⁴ × 7¹

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 78750

List of positive integer factors of 78750 that divides 78744 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 125, 126, 150, 175, 210, 225, 250, 315, 350, 375, 450, 525, 625, 630, 750, 875, 1050, 1125, 1250, 1575, 1750, 1875, 2250, 2625, 3150, 3750, 4375, 5250, 5625, 7875, 8750, 11250, 13125, 15750, 26250, 39375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78744 and 78750. The biggest common factor number is the GCF number.
So the greatest common factor 78744 and 78750 is 6.

Also check out the Least Common Multiple of 78744 and 78750