What is the Greatest Common Factor of 48750 and 48765?

Greatest common factor (GCF) of 48750 and 48765 is 15.

GCF(48750,48765) = 15

We will now calculate the prime factors of 48750 and 48765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48750 and 48765.

How to find the GCF of 48750 and 48765?

We will first find the prime factorization of 48750 and 48765. After we will calculate the factors of 48750 and 48765 and find the biggest common factor number .

Step-1: Prime Factorization of 48750

Prime factors of 48750 are 2, 3, 5, 13. Prime factorization of 48750 in exponential form is:

48750 = 2¹ × 3¹ × 5⁴ × 13¹

Step-2: Prime Factorization of 48765

Prime factors of 48765 are 3, 5, 3251. Prime factorization of 48765 in exponential form is:

48765 = 3¹ × 5¹ × 3251¹

Step-3: Factors of 48750

List of positive integer factors of 48750 that divides 48750 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 625, 650, 750, 975, 1250, 1625, 1875, 1950, 3250, 3750, 4875, 8125, 9750, 16250, 24375

Step-4: Factors of 48765

List of positive integer factors of 48765 that divides 48750 without a remainder.

1, 3, 5, 15, 3251, 9753, 16255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48750 and 48765. The biggest common factor number is the GCF number.
So the greatest common factor 48750 and 48765 is 15.

Also check out the Least Common Multiple of 48750 and 48765