What is the Greatest Common Factor of 48975 and 48983?

Greatest common factor (GCF) of 48975 and 48983 is 1.

GCF(48975,48983) = 1

We will now calculate the prime factors of 48975 and 48983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48975 and 48983.

How to find the GCF of 48975 and 48983?

We will first find the prime factorization of 48975 and 48983. After we will calculate the factors of 48975 and 48983 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 48983

Prime factors of 48983 are 11, 61, 73. Prime factorization of 48983 in exponential form is:

48983 = 11¹ × 61¹ × 73¹

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 48983

List of positive integer factors of 48983 that divides 48975 without a remainder.

1, 11, 61, 73, 671, 803, 4453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48975 and 48983. The biggest common factor number is the GCF number.
So the greatest common factor 48975 and 48983 is 1.

Also check out the Least Common Multiple of 48975 and 48983