What is the Greatest Common Factor of 56791 and 56805?

Greatest common factor (GCF) of 56791 and 56805 is 7.

GCF(56791,56805) = 7

We will now calculate the prime factors of 56791 and 56805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56791 and 56805.

How to find the GCF of 56791 and 56805?

We will first find the prime factorization of 56791 and 56805. After we will calculate the factors of 56791 and 56805 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 56805

Prime factors of 56805 are 3, 5, 7, 541. Prime factorization of 56805 in exponential form is:

56805 = 3¹ × 5¹ × 7¹ × 541¹

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 56805

List of positive integer factors of 56805 that divides 56791 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 541, 1623, 2705, 3787, 8115, 11361, 18935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56791 and 56805. The biggest common factor number is the GCF number.
So the greatest common factor 56791 and 56805 is 7.

Also check out the Least Common Multiple of 56791 and 56805