What is the Greatest Common Factor of 48791 and 48811?

Greatest common factor (GCF) of 48791 and 48811 is 1.

GCF(48791,48811) = 1

We will now calculate the prime factors of 48791 and 48811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48791 and 48811.

How to find the GCF of 48791 and 48811?

We will first find the prime factorization of 48791 and 48811. After we will calculate the factors of 48791 and 48811 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 48811

Prime factors of 48811 are 7, 19, 367. Prime factorization of 48811 in exponential form is:

48811 = 7¹ × 19¹ × 367¹

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 48811

List of positive integer factors of 48811 that divides 48791 without a remainder.

1, 7, 19, 133, 367, 2569, 6973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48791 and 48811. The biggest common factor number is the GCF number.
So the greatest common factor 48791 and 48811 is 1.

Also check out the Least Common Multiple of 48791 and 48811