What is the Greatest Common Factor of 48565 and 48577?

Greatest common factor (GCF) of 48565 and 48577 is 1.

GCF(48565,48577) = 1

We will now calculate the prime factors of 48565 and 48577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48565 and 48577.

How to find the GCF of 48565 and 48577?

We will first find the prime factorization of 48565 and 48577. After we will calculate the factors of 48565 and 48577 and find the biggest common factor number .

Step-1: Prime Factorization of 48565

Prime factors of 48565 are 5, 11, 883. Prime factorization of 48565 in exponential form is:

48565 = 5¹ × 11¹ × 883¹

Step-2: Prime Factorization of 48577

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

48577 = 31¹ × 1567¹

Step-3: Factors of 48565

List of positive integer factors of 48565 that divides 48565 without a remainder.

1, 5, 11, 55, 883, 4415, 9713

Step-4: Factors of 48577

List of positive integer factors of 48577 that divides 48565 without a remainder.

1, 31, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48565 and 48577. The biggest common factor number is the GCF number.
So the greatest common factor 48565 and 48577 is 1.

Also check out the Least Common Multiple of 48565 and 48577