What is the Greatest Common Factor of 5665 and 5675?

Greatest common factor (GCF) of 5665 and 5675 is 5.

GCF(5665,5675) = 5

We will now calculate the prime factors of 5665 and 5675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5665 and 5675.

How to find the GCF of 5665 and 5675?

We will first find the prime factorization of 5665 and 5675. After we will calculate the factors of 5665 and 5675 and find the biggest common factor number .

Step-1: Prime Factorization of 5665

Prime factors of 5665 are 5, 11, 103. Prime factorization of 5665 in exponential form is:

5665 = 5¹ × 11¹ × 103¹

Step-2: Prime Factorization of 5675

Prime factors of 5675 are 5, 227. Prime factorization of 5675 in exponential form is:

5675 = 5² × 227¹

Step-3: Factors of 5665

List of positive integer factors of 5665 that divides 5665 without a remainder.

1, 5, 11, 55, 103, 515, 1133

Step-4: Factors of 5675

List of positive integer factors of 5675 that divides 5665 without a remainder.

1, 5, 25, 227, 1135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5665 and 5675. The biggest common factor number is the GCF number.
So the greatest common factor 5665 and 5675 is 5.

Also check out the Least Common Multiple of 5665 and 5675