What is the Greatest Common Factor of 65214 and 65226?

Greatest common factor (GCF) of 65214 and 65226 is 6.

GCF(65214,65226) = 6

We will now calculate the prime factors of 65214 and 65226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65214 and 65226.

How to find the GCF of 65214 and 65226?

We will first find the prime factorization of 65214 and 65226. After we will calculate the factors of 65214 and 65226 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 65226

Prime factors of 65226 are 2, 3, 7, 1553. Prime factorization of 65226 in exponential form is:

65226 = 2¹ × 3¹ × 7¹ × 1553¹

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 65226

List of positive integer factors of 65226 that divides 65214 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1553, 3106, 4659, 9318, 10871, 21742, 32613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65214 and 65226. The biggest common factor number is the GCF number.
So the greatest common factor 65214 and 65226 is 6.

Also check out the Least Common Multiple of 65214 and 65226