What is the Greatest Common Factor of 93750 and 93756?

Greatest common factor (GCF) of 93750 and 93756 is 6.

GCF(93750,93756) = 6

We will now calculate the prime factors of 93750 and 93756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93750 and 93756.

How to find the GCF of 93750 and 93756?

We will first find the prime factorization of 93750 and 93756. After we will calculate the factors of 93750 and 93756 and find the biggest common factor number .

Step-1: Prime Factorization of 93750

Prime factors of 93750 are 2, 3, 5. Prime factorization of 93750 in exponential form is:

93750 = 2¹ × 3¹ × 5⁶

Step-2: Prime Factorization of 93756

Prime factors of 93756 are 2, 3, 13, 601. Prime factorization of 93756 in exponential form is:

93756 = 2² × 3¹ × 13¹ × 601¹

Step-3: Factors of 93750

List of positive integer factors of 93750 that divides 93750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3125, 3750, 6250, 9375, 15625, 18750, 31250, 46875

Step-4: Factors of 93756

List of positive integer factors of 93756 that divides 93750 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 601, 1202, 1803, 2404, 3606, 7212, 7813, 15626, 23439, 31252, 46878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93750 and 93756. The biggest common factor number is the GCF number.
So the greatest common factor 93750 and 93756 is 6.

Also check out the Least Common Multiple of 93750 and 93756