What is the Greatest Common Factor of 65697 and 65709?

Greatest common factor (GCF) of 65697 and 65709 is 3.

GCF(65697,65709) = 3

We will now calculate the prime factors of 65697 and 65709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65697 and 65709.

How to find the GCF of 65697 and 65709?

We will first find the prime factorization of 65697 and 65709. After we will calculate the factors of 65697 and 65709 and find the biggest common factor number .

Step-1: Prime Factorization of 65697

Prime factors of 65697 are 3, 61, 359. Prime factorization of 65697 in exponential form is:

65697 = 3¹ × 61¹ × 359¹

Step-2: 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-3: Factors of 65697

List of positive integer factors of 65697 that divides 65697 without a remainder.

1, 3, 61, 183, 359, 1077, 21899

Step-4: Factors of 65709

List of positive integer factors of 65709 that divides 65697 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65697 and 65709. The biggest common factor number is the GCF number.
So the greatest common factor 65697 and 65709 is 3.

Also check out the Least Common Multiple of 65697 and 65709