What is the Greatest Common Factor of 65709 and 65718?

Greatest common factor (GCF) of 65709 and 65718 is 9.

GCF(65709,65718) = 9

We will now calculate the prime factors of 65709 and 65718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65709 and 65718.

How to find the GCF of 65709 and 65718?

We will first find the prime factorization of 65709 and 65718. After we will calculate the factors of 65709 and 65718 and find the biggest common factor number .

Step-1: Prime Factorization of 65709

Prime factors of 65709 are 3, 7, 149. Prime factorization of 65709 in exponential form is:

65709 = 3² × 7² × 149¹

Step-2: Prime Factorization of 65718

Prime factors of 65718 are 2, 3, 1217. Prime factorization of 65718 in exponential form is:

65718 = 2¹ × 3³ × 1217¹

Step-3: Factors of 65709

List of positive integer factors of 65709 that divides 65709 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 149, 441, 447, 1043, 1341, 3129, 7301, 9387, 21903

Step-4: Factors of 65718

List of positive integer factors of 65718 that divides 65709 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1217, 2434, 3651, 7302, 10953, 21906, 32859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65709 and 65718. The biggest common factor number is the GCF number.
So the greatest common factor 65709 and 65718 is 9.

Also check out the Least Common Multiple of 65709 and 65718