What is the Greatest Common Factor of 93750 and 93765?

Greatest common factor (GCF) of 93750 and 93765 is 15.

GCF(93750,93765) = 15

We will now calculate the prime factors of 93750 and 93765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93750 and 93765.

How to find the GCF of 93750 and 93765?

We will first find the prime factorization of 93750 and 93765. After we will calculate the factors of 93750 and 93765 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 93765

Prime factors of 93765 are 3, 5, 7, 19, 47. Prime factorization of 93765 in exponential form is:

93765 = 3¹ × 5¹ × 7¹ × 19¹ × 47¹

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 93765

List of positive integer factors of 93765 that divides 93750 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 47, 57, 95, 105, 133, 141, 235, 285, 329, 399, 665, 705, 893, 987, 1645, 1995, 2679, 4465, 4935, 6251, 13395, 18753, 31255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93750 and 93765. The biggest common factor number is the GCF number.
So the greatest common factor 93750 and 93765 is 15.

Also check out the Least Common Multiple of 93750 and 93765