What is the Greatest Common Factor of 65214 and 65223?

Greatest common factor (GCF) of 65214 and 65223 is 9.

GCF(65214,65223) = 9

We will now calculate the prime factors of 65214 and 65223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65214 and 65223.

How to find the GCF of 65214 and 65223?

We will first find the prime factorization of 65214 and 65223. After we will calculate the factors of 65214 and 65223 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65223

Prime factors of 65223 are 3, 7247. Prime factorization of 65223 in exponential form is:

65223 = 3² × 7247¹

Step-3: Factors of 65214

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

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

Step-4: Factors of 65223

List of positive integer factors of 65223 that divides 65214 without a remainder.

1, 3, 9, 7247, 21741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65214 and 65223. The biggest common factor number is the GCF number.
So the greatest common factor 65214 and 65223 is 9.

Also check out the Least Common Multiple of 65214 and 65223