What is the Greatest Common Factor of 61641 and 61659?

Greatest common factor (GCF) of 61641 and 61659 is 9.

GCF(61641,61659) = 9

We will now calculate the prime factors of 61641 and 61659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61641 and 61659.

How to find the GCF of 61641 and 61659?

We will first find the prime factorization of 61641 and 61659. After we will calculate the factors of 61641 and 61659 and find the biggest common factor number .

Step-1: Prime Factorization of 61641

Prime factors of 61641 are 3, 761. Prime factorization of 61641 in exponential form is:

61641 = 3⁴ × 761¹

Step-2: 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-3: Factors of 61641

List of positive integer factors of 61641 that divides 61641 without a remainder.

1, 3, 9, 27, 81, 761, 2283, 6849, 20547

Step-4: Factors of 61659

List of positive integer factors of 61659 that divides 61641 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61641 and 61659. The biggest common factor number is the GCF number.
So the greatest common factor 61641 and 61659 is 9.

Also check out the Least Common Multiple of 61641 and 61659