What is the Greatest Common Factor of 48975 and 48987?

Greatest common factor (GCF) of 48975 and 48987 is 3.

GCF(48975,48987) = 3

We will now calculate the prime factors of 48975 and 48987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48975 and 48987.

How to find the GCF of 48975 and 48987?

We will first find the prime factorization of 48975 and 48987. After we will calculate the factors of 48975 and 48987 and find the biggest common factor number .

Step-1: Prime Factorization of 48975

Prime factors of 48975 are 3, 5, 653. Prime factorization of 48975 in exponential form is:

48975 = 3¹ × 5² × 653¹

Step-2: Prime Factorization of 48987

Prime factors of 48987 are 3, 5443. Prime factorization of 48987 in exponential form is:

48987 = 3² × 5443¹

Step-3: Factors of 48975

List of positive integer factors of 48975 that divides 48975 without a remainder.

1, 3, 5, 15, 25, 75, 653, 1959, 3265, 9795, 16325

Step-4: Factors of 48987

List of positive integer factors of 48987 that divides 48975 without a remainder.

1, 3, 9, 5443, 16329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48975 and 48987. The biggest common factor number is the GCF number.
So the greatest common factor 48975 and 48987 is 3.

Also check out the Least Common Multiple of 48975 and 48987