What is the Greatest Common Factor of 56695 and 56705?

Greatest common factor (GCF) of 56695 and 56705 is 5.

GCF(56695,56705) = 5

We will now calculate the prime factors of 56695 and 56705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56695 and 56705.

How to find the GCF of 56695 and 56705?

We will first find the prime factorization of 56695 and 56705. After we will calculate the factors of 56695 and 56705 and find the biggest common factor number .

Step-1: Prime Factorization of 56695

Prime factors of 56695 are 5, 17, 23, 29. Prime factorization of 56695 in exponential form is:

56695 = 5¹ × 17¹ × 23¹ × 29¹

Step-2: Prime Factorization of 56705

Prime factors of 56705 are 5, 11, 1031. Prime factorization of 56705 in exponential form is:

56705 = 5¹ × 11¹ × 1031¹

Step-3: Factors of 56695

List of positive integer factors of 56695 that divides 56695 without a remainder.

1, 5, 17, 23, 29, 85, 115, 145, 391, 493, 667, 1955, 2465, 3335, 11339

Step-4: Factors of 56705

List of positive integer factors of 56705 that divides 56695 without a remainder.

1, 5, 11, 55, 1031, 5155, 11341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56695 and 56705. The biggest common factor number is the GCF number.
So the greatest common factor 56695 and 56705 is 5.

Also check out the Least Common Multiple of 56695 and 56705