What is the Greatest Common Factor of 61659 and 61677?

Greatest common factor (GCF) of 61659 and 61677 is 9.

GCF(61659,61677) = 9

We will now calculate the prime factors of 61659 and 61677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61659 and 61677.

How to find the GCF of 61659 and 61677?

We will first find the prime factorization of 61659 and 61677. After we will calculate the factors of 61659 and 61677 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 61677

Prime factors of 61677 are 3, 7, 11, 89. Prime factorization of 61677 in exponential form is:

61677 = 3² × 7¹ × 11¹ × 89¹

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 61677

List of positive integer factors of 61677 that divides 61659 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 89, 99, 231, 267, 623, 693, 801, 979, 1869, 2937, 5607, 6853, 8811, 20559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61659 and 61677. The biggest common factor number is the GCF number.
So the greatest common factor 61659 and 61677 is 9.

Also check out the Least Common Multiple of 61659 and 61677