What is the Greatest Common Factor of 56665 and 56675?

Greatest common factor (GCF) of 56665 and 56675 is 5.

GCF(56665,56675) = 5

We will now calculate the prime factors of 56665 and 56675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56665 and 56675.

How to find the GCF of 56665 and 56675?

We will first find the prime factorization of 56665 and 56675. After we will calculate the factors of 56665 and 56675 and find the biggest common factor number .

Step-1: Prime Factorization of 56665

Prime factors of 56665 are 5, 7, 1619. Prime factorization of 56665 in exponential form is:

56665 = 5¹ × 7¹ × 1619¹

Step-2: Prime Factorization of 56675

Prime factors of 56675 are 5, 2267. Prime factorization of 56675 in exponential form is:

56675 = 5² × 2267¹

Step-3: Factors of 56665

List of positive integer factors of 56665 that divides 56665 without a remainder.

1, 5, 7, 35, 1619, 8095, 11333

Step-4: Factors of 56675

List of positive integer factors of 56675 that divides 56665 without a remainder.

1, 5, 25, 2267, 11335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56665 and 56675. The biggest common factor number is the GCF number.
So the greatest common factor 56665 and 56675 is 5.

Also check out the Least Common Multiple of 56665 and 56675