What is the Greatest Common Factor of 56716 and 56735?

Greatest common factor (GCF) of 56716 and 56735 is 1.

GCF(56716,56735) = 1

We will now calculate the prime factors of 56716 and 56735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56716 and 56735.

How to find the GCF of 56716 and 56735?

We will first find the prime factorization of 56716 and 56735. After we will calculate the factors of 56716 and 56735 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56735

Prime factors of 56735 are 5, 7, 1621. Prime factorization of 56735 in exponential form is:

56735 = 5¹ × 7¹ × 1621¹

Step-3: Factors of 56716

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

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

Step-4: Factors of 56735

List of positive integer factors of 56735 that divides 56716 without a remainder.

1, 5, 7, 35, 1621, 8105, 11347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56716 and 56735. The biggest common factor number is the GCF number.
So the greatest common factor 56716 and 56735 is 1.

Also check out the Least Common Multiple of 56716 and 56735