What is the Greatest Common Factor of 65084 and 65097?

Greatest common factor (GCF) of 65084 and 65097 is 1.

GCF(65084,65097) = 1

We will now calculate the prime factors of 65084 and 65097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65084 and 65097.

How to find the GCF of 65084 and 65097?

We will first find the prime factorization of 65084 and 65097. After we will calculate the factors of 65084 and 65097 and find the biggest common factor number .

Step-1: Prime Factorization of 65084

Prime factors of 65084 are 2, 53, 307. Prime factorization of 65084 in exponential form is:

65084 = 2² × 53¹ × 307¹

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 65084

List of positive integer factors of 65084 that divides 65084 without a remainder.

1, 2, 4, 53, 106, 212, 307, 614, 1228, 16271, 32542

Step-4: Factors of 65097

List of positive integer factors of 65097 that divides 65084 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65084 and 65097. The biggest common factor number is the GCF number.
So the greatest common factor 65084 and 65097 is 1.

Also check out the Least Common Multiple of 65084 and 65097