What is the Greatest Common Factor of 48577 and 48592?

Greatest common factor (GCF) of 48577 and 48592 is 1.

GCF(48577,48592) = 1

We will now calculate the prime factors of 48577 and 48592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48577 and 48592.

How to find the GCF of 48577 and 48592?

We will first find the prime factorization of 48577 and 48592. After we will calculate the factors of 48577 and 48592 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 48592

Prime factors of 48592 are 2, 3037. Prime factorization of 48592 in exponential form is:

48592 = 2⁴ × 3037¹

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 48592

List of positive integer factors of 48592 that divides 48577 without a remainder.

1, 2, 4, 8, 16, 3037, 6074, 12148, 24296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48577 and 48592. The biggest common factor number is the GCF number.
So the greatest common factor 48577 and 48592 is 1.

Also check out the Least Common Multiple of 48577 and 48592