What is the Greatest Common Factor of 93750 and 93760?

Greatest common factor (GCF) of 93750 and 93760 is 10.

GCF(93750,93760) = 10

We will now calculate the prime factors of 93750 and 93760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93750 and 93760.

How to find the GCF of 93750 and 93760?

We will first find the prime factorization of 93750 and 93760. After we will calculate the factors of 93750 and 93760 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 93760

Prime factors of 93760 are 2, 5, 293. Prime factorization of 93760 in exponential form is:

93760 = 2⁶ × 5¹ × 293¹

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 93760

List of positive integer factors of 93760 that divides 93750 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 293, 320, 586, 1172, 1465, 2344, 2930, 4688, 5860, 9376, 11720, 18752, 23440, 46880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93750 and 93760. The biggest common factor number is the GCF number.
So the greatest common factor 93750 and 93760 is 10.

Also check out the Least Common Multiple of 93750 and 93760