What is the Greatest Common Factor of 61665 and 61675?

Greatest common factor (GCF) of 61665 and 61675 is 5.

GCF(61665,61675) = 5

We will now calculate the prime factors of 61665 and 61675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61665 and 61675.

How to find the GCF of 61665 and 61675?

We will first find the prime factorization of 61665 and 61675. After we will calculate the factors of 61665 and 61675 and find the biggest common factor number .

Step-1: Prime Factorization of 61665

Prime factors of 61665 are 3, 5, 4111. Prime factorization of 61665 in exponential form is:

61665 = 3¹ × 5¹ × 4111¹

Step-2: Prime Factorization of 61675

Prime factors of 61675 are 5, 2467. Prime factorization of 61675 in exponential form is:

61675 = 5² × 2467¹

Step-3: Factors of 61665

List of positive integer factors of 61665 that divides 61665 without a remainder.

1, 3, 5, 15, 4111, 12333, 20555

Step-4: Factors of 61675

List of positive integer factors of 61675 that divides 61665 without a remainder.

1, 5, 25, 2467, 12335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61665 and 61675. The biggest common factor number is the GCF number.
So the greatest common factor 61665 and 61675 is 5.

Also check out the Least Common Multiple of 61665 and 61675