What is the Greatest Common Factor of 61659 and 61665?

Greatest common factor (GCF) of 61659 and 61665 is 3.

GCF(61659,61665) = 3

We will now calculate the prime factors of 61659 and 61665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61659 and 61665.

How to find the GCF of 61659 and 61665?

We will first find the prime factorization of 61659 and 61665. After we will calculate the factors of 61659 and 61665 and find the biggest common factor number .

Step-1: Prime Factorization of 61659

Prime factors of 61659 are 3, 13, 17, 31. Prime factorization of 61659 in exponential form is:

61659 = 3² × 13¹ × 17¹ × 31¹

Step-2: 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-3: Factors of 61659

List of positive integer factors of 61659 that divides 61659 without a remainder.

1, 3, 9, 13, 17, 31, 39, 51, 93, 117, 153, 221, 279, 403, 527, 663, 1209, 1581, 1989, 3627, 4743, 6851, 20553

Step-4: Factors of 61665

List of positive integer factors of 61665 that divides 61659 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61659 and 61665. The biggest common factor number is the GCF number.
So the greatest common factor 61659 and 61665 is 3.

Also check out the Least Common Multiple of 61659 and 61665