What is the Greatest Common Factor of 661 and 675?

Greatest common factor (GCF) of 661 and 675 is 1.

GCF(661,675) = 1

We will now calculate the prime factors of 661 and 675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 661 and 675.

How to find the GCF of 661 and 675?

We will first find the prime factorization of 661 and 675. After we will calculate the factors of 661 and 675 and find the biggest common factor number .

Step-1: Prime Factorization of 661

Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:

661 = 661¹

Step-2: Prime Factorization of 675

Prime factors of 675 are 3, 5. Prime factorization of 675 in exponential form is:

675 = 3³ × 5²

Step-3: Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

Step-4: Factors of 675

List of positive integer factors of 675 that divides 661 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 661 and 675. The biggest common factor number is the GCF number.
So the greatest common factor 661 and 675 is 1.

Also check out the Least Common Multiple of 661 and 675