What is the Greatest Common Factor of 65204 and 65214?

Greatest common factor (GCF) of 65204 and 65214 is 2.

GCF(65204,65214) = 2

We will now calculate the prime factors of 65204 and 65214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65204 and 65214.

How to find the GCF of 65204 and 65214?

We will first find the prime factorization of 65204 and 65214. After we will calculate the factors of 65204 and 65214 and find the biggest common factor number .

Step-1: Prime Factorization of 65204

Prime factors of 65204 are 2, 16301. Prime factorization of 65204 in exponential form is:

65204 = 2² × 16301¹

Step-2: Prime Factorization of 65214

Prime factors of 65214 are 2, 3, 3623. Prime factorization of 65214 in exponential form is:

65214 = 2¹ × 3² × 3623¹

Step-3: Factors of 65204

List of positive integer factors of 65204 that divides 65204 without a remainder.

1, 2, 4, 16301, 32602

Step-4: Factors of 65214

List of positive integer factors of 65214 that divides 65204 without a remainder.

1, 2, 3, 6, 9, 18, 3623, 7246, 10869, 21738, 32607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65204 and 65214. The biggest common factor number is the GCF number.
So the greatest common factor 65204 and 65214 is 2.

Also check out the Least Common Multiple of 65204 and 65214