What is the Greatest Common Factor of 65391 and 65397?

Greatest common factor (GCF) of 65391 and 65397 is 3.

GCF(65391,65397) = 3

We will now calculate the prime factors of 65391 and 65397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65391 and 65397.

How to find the GCF of 65391 and 65397?

We will first find the prime factorization of 65391 and 65397. After we will calculate the factors of 65391 and 65397 and find the biggest common factor number .

Step-1: Prime Factorization of 65391

Prime factors of 65391 are 3, 71, 307. Prime factorization of 65391 in exponential form is:

65391 = 3¹ × 71¹ × 307¹

Step-2: Prime Factorization of 65397

Prime factors of 65397 are 3, 21799. Prime factorization of 65397 in exponential form is:

65397 = 3¹ × 21799¹

Step-3: Factors of 65391

List of positive integer factors of 65391 that divides 65391 without a remainder.

1, 3, 71, 213, 307, 921, 21797

Step-4: Factors of 65397

List of positive integer factors of 65397 that divides 65391 without a remainder.

1, 3, 21799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65391 and 65397. The biggest common factor number is the GCF number.
So the greatest common factor 65391 and 65397 is 3.

Also check out the Least Common Multiple of 65391 and 65397