What is the Greatest Common Factor of 48791 and 48807?

Greatest common factor (GCF) of 48791 and 48807 is 1.

GCF(48791,48807) = 1

We will now calculate the prime factors of 48791 and 48807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48791 and 48807.

How to find the GCF of 48791 and 48807?

We will first find the prime factorization of 48791 and 48807. After we will calculate the factors of 48791 and 48807 and find the biggest common factor number .

Step-1: Prime Factorization of 48791

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

48791 = 97¹ × 503¹

Step-2: Prime Factorization of 48807

Prime factors of 48807 are 3, 11, 17, 29. Prime factorization of 48807 in exponential form is:

48807 = 3² × 11¹ × 17¹ × 29¹

Step-3: Factors of 48791

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

1, 97, 503

Step-4: Factors of 48807

List of positive integer factors of 48807 that divides 48791 without a remainder.

1, 3, 9, 11, 17, 29, 33, 51, 87, 99, 153, 187, 261, 319, 493, 561, 957, 1479, 1683, 2871, 4437, 5423, 16269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48791 and 48807. The biggest common factor number is the GCF number.
So the greatest common factor 48791 and 48807 is 1.

Also check out the Least Common Multiple of 48791 and 48807