What is the Greatest Common Factor of 48975 and 48991?

Greatest common factor (GCF) of 48975 and 48991 is 1.

GCF(48975,48991) = 1

We will now calculate the prime factors of 48975 and 48991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48975 and 48991.

How to find the GCF of 48975 and 48991?

We will first find the prime factorization of 48975 and 48991. After we will calculate the factors of 48975 and 48991 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 48991

Prime factors of 48991 are 48991. Prime factorization of 48991 in exponential form is:

48991 = 48991¹

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 48991

List of positive integer factors of 48991 that divides 48975 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48975 and 48991. The biggest common factor number is the GCF number.
So the greatest common factor 48975 and 48991 is 1.

Also check out the Least Common Multiple of 48975 and 48991