What is the Greatest Common Factor of 48577 and 48591?

Greatest common factor (GCF) of 48577 and 48591 is 1.

GCF(48577,48591) = 1

We will now calculate the prime factors of 48577 and 48591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48577 and 48591.

How to find the GCF of 48577 and 48591?

We will first find the prime factorization of 48577 and 48591. After we will calculate the factors of 48577 and 48591 and find the biggest common factor number .

Step-1: Prime Factorization of 48577

Prime factors of 48577 are 31, 1567. Prime factorization of 48577 in exponential form is:

48577 = 31¹ × 1567¹

Step-2: Prime Factorization of 48591

Prime factors of 48591 are 3, 5399. Prime factorization of 48591 in exponential form is:

48591 = 3² × 5399¹

Step-3: Factors of 48577

List of positive integer factors of 48577 that divides 48577 without a remainder.

1, 31, 1567

Step-4: Factors of 48591

List of positive integer factors of 48591 that divides 48577 without a remainder.

1, 3, 9, 5399, 16197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48577 and 48591. The biggest common factor number is the GCF number.
So the greatest common factor 48577 and 48591 is 1.

Also check out the Least Common Multiple of 48577 and 48591