What is the Greatest Common Factor of 48961 and 48975?

Greatest common factor (GCF) of 48961 and 48975 is 1.

GCF(48961,48975) = 1

We will now calculate the prime factors of 48961 and 48975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48961 and 48975.

How to find the GCF of 48961 and 48975?

We will first find the prime factorization of 48961 and 48975. After we will calculate the factors of 48961 and 48975 and find the biggest common factor number .

Step-1: Prime Factorization of 48961

Prime factors of 48961 are 11, 4451. Prime factorization of 48961 in exponential form is:

48961 = 11¹ × 4451¹

Step-2: 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-3: Factors of 48961

List of positive integer factors of 48961 that divides 48961 without a remainder.

1, 11, 4451

Step-4: Factors of 48975

List of positive integer factors of 48975 that divides 48961 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48961 and 48975. The biggest common factor number is the GCF number.
So the greatest common factor 48961 and 48975 is 1.

Also check out the Least Common Multiple of 48961 and 48975