What is the Greatest Common Factor of 93750 and 93770?

Greatest common factor (GCF) of 93750 and 93770 is 10.

GCF(93750,93770) = 10

We will now calculate the prime factors of 93750 and 93770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93750 and 93770.

How to find the GCF of 93750 and 93770?

We will first find the prime factorization of 93750 and 93770. After we will calculate the factors of 93750 and 93770 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 93770

Prime factors of 93770 are 2, 5, 9377. Prime factorization of 93770 in exponential form is:

93770 = 2¹ × 5¹ × 9377¹

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 93770

List of positive integer factors of 93770 that divides 93750 without a remainder.

1, 2, 5, 10, 9377, 18754, 46885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93750 and 93770. The biggest common factor number is the GCF number.
So the greatest common factor 93750 and 93770 is 10.

Also check out the Least Common Multiple of 93750 and 93770