What is the Greatest Common Factor of 65685 and 65691?

Greatest common factor (GCF) of 65685 and 65691 is 3.

GCF(65685,65691) = 3

We will now calculate the prime factors of 65685 and 65691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65685 and 65691.

How to find the GCF of 65685 and 65691?

We will first find the prime factorization of 65685 and 65691. After we will calculate the factors of 65685 and 65691 and find the biggest common factor number .

Step-1: Prime Factorization of 65685

Prime factors of 65685 are 3, 5, 29, 151. Prime factorization of 65685 in exponential form is:

65685 = 3¹ × 5¹ × 29¹ × 151¹

Step-2: Prime Factorization of 65691

Prime factors of 65691 are 3, 811. Prime factorization of 65691 in exponential form is:

65691 = 3⁴ × 811¹

Step-3: Factors of 65685

List of positive integer factors of 65685 that divides 65685 without a remainder.

1, 3, 5, 15, 29, 87, 145, 151, 435, 453, 755, 2265, 4379, 13137, 21895

Step-4: Factors of 65691

List of positive integer factors of 65691 that divides 65685 without a remainder.

1, 3, 9, 27, 81, 811, 2433, 7299, 21897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65685 and 65691. The biggest common factor number is the GCF number.
So the greatest common factor 65685 and 65691 is 3.

Also check out the Least Common Multiple of 65685 and 65691