What is the Greatest Common Factor of 93750 and 93759?

Greatest common factor (GCF) of 93750 and 93759 is 3.

GCF(93750,93759) = 3

We will now calculate the prime factors of 93750 and 93759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93750 and 93759.

How to find the GCF of 93750 and 93759?

We will first find the prime factorization of 93750 and 93759. After we will calculate the factors of 93750 and 93759 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 93759

Prime factors of 93759 are 3, 31253. Prime factorization of 93759 in exponential form is:

93759 = 3¹ × 31253¹

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 93759

List of positive integer factors of 93759 that divides 93750 without a remainder.

1, 3, 31253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93750 and 93759. The biggest common factor number is the GCF number.
So the greatest common factor 93750 and 93759 is 3.

Also check out the Least Common Multiple of 93750 and 93759