What is the Greatest Common Factor of 56705 and 56716?

Greatest common factor (GCF) of 56705 and 56716 is 11.

GCF(56705,56716) = 11

We will now calculate the prime factors of 56705 and 56716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56705 and 56716.

How to find the GCF of 56705 and 56716?

We will first find the prime factorization of 56705 and 56716. After we will calculate the factors of 56705 and 56716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56716

Prime factors of 56716 are 2, 11, 1289. Prime factorization of 56716 in exponential form is:

56716 = 2² × 11¹ × 1289¹

Step-3: Factors of 56705

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

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

Step-4: Factors of 56716

List of positive integer factors of 56716 that divides 56705 without a remainder.

1, 2, 4, 11, 22, 44, 1289, 2578, 5156, 14179, 28358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56705 and 56716. The biggest common factor number is the GCF number.
So the greatest common factor 56705 and 56716 is 11.

Also check out the Least Common Multiple of 56705 and 56716