What is the Greatest Common Factor of 56780 and 56795?

Greatest common factor (GCF) of 56780 and 56795 is 5.

GCF(56780,56795) = 5

We will now calculate the prime factors of 56780 and 56795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56780 and 56795.

How to find the GCF of 56780 and 56795?

We will first find the prime factorization of 56780 and 56795. After we will calculate the factors of 56780 and 56795 and find the biggest common factor number .

Step-1: Prime Factorization of 56780

Prime factors of 56780 are 2, 5, 17, 167. Prime factorization of 56780 in exponential form is:

56780 = 2² × 5¹ × 17¹ × 167¹

Step-2: Prime Factorization of 56795

Prime factors of 56795 are 5, 37, 307. Prime factorization of 56795 in exponential form is:

56795 = 5¹ × 37¹ × 307¹

Step-3: Factors of 56780

List of positive integer factors of 56780 that divides 56780 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 167, 170, 334, 340, 668, 835, 1670, 2839, 3340, 5678, 11356, 14195, 28390

Step-4: Factors of 56795

List of positive integer factors of 56795 that divides 56780 without a remainder.

1, 5, 37, 185, 307, 1535, 11359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56780 and 56795. The biggest common factor number is the GCF number.
So the greatest common factor 56780 and 56795 is 5.

Also check out the Least Common Multiple of 56780 and 56795