What is the Greatest Common Factor of 65091 and 65097?

Greatest common factor (GCF) of 65091 and 65097 is 3.

GCF(65091,65097) = 3

We will now calculate the prime factors of 65091 and 65097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65091 and 65097.

How to find the GCF of 65091 and 65097?

We will first find the prime factorization of 65091 and 65097. After we will calculate the factors of 65091 and 65097 and find the biggest common factor number .

Step-1: Prime Factorization of 65091

Prime factors of 65091 are 3, 13, 1669. Prime factorization of 65091 in exponential form is:

65091 = 3¹ × 13¹ × 1669¹

Step-2: Prime Factorization of 65097

Prime factors of 65097 are 3, 2411. Prime factorization of 65097 in exponential form is:

65097 = 3³ × 2411¹

Step-3: Factors of 65091

List of positive integer factors of 65091 that divides 65091 without a remainder.

1, 3, 13, 39, 1669, 5007, 21697

Step-4: Factors of 65097

List of positive integer factors of 65097 that divides 65091 without a remainder.

1, 3, 9, 27, 2411, 7233, 21699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65091 and 65097. The biggest common factor number is the GCF number.
So the greatest common factor 65091 and 65097 is 3.

Also check out the Least Common Multiple of 65091 and 65097