What is the Greatest Common Factor of 56791 and 56807?

Greatest common factor (GCF) of 56791 and 56807 is 1.

GCF(56791,56807) = 1

We will now calculate the prime factors of 56791 and 56807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56791 and 56807.

How to find the GCF of 56791 and 56807?

We will first find the prime factorization of 56791 and 56807. After we will calculate the factors of 56791 and 56807 and find the biggest common factor number .

Step-1: Prime Factorization of 56791

Prime factors of 56791 are 7, 19, 61. Prime factorization of 56791 in exponential form is:

56791 = 7² × 19¹ × 61¹

Step-2: Prime Factorization of 56807

Prime factors of 56807 are 56807. Prime factorization of 56807 in exponential form is:

56807 = 56807¹

Step-3: Factors of 56791

List of positive integer factors of 56791 that divides 56791 without a remainder.

1, 7, 19, 49, 61, 133, 427, 931, 1159, 2989, 8113

Step-4: Factors of 56807

List of positive integer factors of 56807 that divides 56791 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56791 and 56807. The biggest common factor number is the GCF number.
So the greatest common factor 56791 and 56807 is 1.

Also check out the Least Common Multiple of 56791 and 56807