What is the Greatest Common Factor of 48775 and 48791?

Greatest common factor (GCF) of 48775 and 48791 is 1.

GCF(48775,48791) = 1

We will now calculate the prime factors of 48775 and 48791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48775 and 48791.

How to find the GCF of 48775 and 48791?

We will first find the prime factorization of 48775 and 48791. After we will calculate the factors of 48775 and 48791 and find the biggest common factor number .

Step-1: Prime Factorization of 48775

Prime factors of 48775 are 5, 1951. Prime factorization of 48775 in exponential form is:

48775 = 5² × 1951¹

Step-2: Prime Factorization of 48791

Prime factors of 48791 are 97, 503. Prime factorization of 48791 in exponential form is:

48791 = 97¹ × 503¹

Step-3: Factors of 48775

List of positive integer factors of 48775 that divides 48775 without a remainder.

1, 5, 25, 1951, 9755

Step-4: Factors of 48791

List of positive integer factors of 48791 that divides 48775 without a remainder.

1, 97, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48775 and 48791. The biggest common factor number is the GCF number.
So the greatest common factor 48775 and 48791 is 1.

Also check out the Least Common Multiple of 48775 and 48791