What is the Greatest Common Factor of 65709 and 65721?

Greatest common factor (GCF) of 65709 and 65721 is 3.

GCF(65709,65721) = 3

We will now calculate the prime factors of 65709 and 65721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65709 and 65721.

How to find the GCF of 65709 and 65721?

We will first find the prime factorization of 65709 and 65721. After we will calculate the factors of 65709 and 65721 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 65721

Prime factors of 65721 are 3, 19, 1153. Prime factorization of 65721 in exponential form is:

65721 = 3¹ × 19¹ × 1153¹

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 65721

List of positive integer factors of 65721 that divides 65709 without a remainder.

1, 3, 19, 57, 1153, 3459, 21907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65709 and 65721. The biggest common factor number is the GCF number.
So the greatest common factor 65709 and 65721 is 3.

Also check out the Least Common Multiple of 65709 and 65721