What is the Greatest Common Factor of 93750 and 93762?

Greatest common factor (GCF) of 93750 and 93762 is 6.

GCF(93750,93762) = 6

We will now calculate the prime factors of 93750 and 93762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93750 and 93762.

How to find the GCF of 93750 and 93762?

We will first find the prime factorization of 93750 and 93762. After we will calculate the factors of 93750 and 93762 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 93762

Prime factors of 93762 are 2, 3, 5209. Prime factorization of 93762 in exponential form is:

93762 = 2¹ × 3² × 5209¹

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 93762

List of positive integer factors of 93762 that divides 93750 without a remainder.

1, 2, 3, 6, 9, 18, 5209, 10418, 15627, 31254, 46881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93750 and 93762. The biggest common factor number is the GCF number.
So the greatest common factor 93750 and 93762 is 6.

Also check out the Least Common Multiple of 93750 and 93762