What is the Greatest Common Factor of 62218 and 62226?

Greatest common factor (GCF) of 62218 and 62226 is 2.

GCF(62218,62226) = 2

We will now calculate the prime factors of 62218 and 62226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62218 and 62226.

How to find the GCF of 62218 and 62226?

We will first find the prime factorization of 62218 and 62226. After we will calculate the factors of 62218 and 62226 and find the biggest common factor number .

Step-1: Prime Factorization of 62218

Prime factors of 62218 are 2, 13, 2393. Prime factorization of 62218 in exponential form is:

62218 = 2¹ × 13¹ × 2393¹

Step-2: Prime Factorization of 62226

Prime factors of 62226 are 2, 3, 3457. Prime factorization of 62226 in exponential form is:

62226 = 2¹ × 3² × 3457¹

Step-3: Factors of 62218

List of positive integer factors of 62218 that divides 62218 without a remainder.

1, 2, 13, 26, 2393, 4786, 31109

Step-4: Factors of 62226

List of positive integer factors of 62226 that divides 62218 without a remainder.

1, 2, 3, 6, 9, 18, 3457, 6914, 10371, 20742, 31113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62218 and 62226. The biggest common factor number is the GCF number.
So the greatest common factor 62218 and 62226 is 2.

Also check out the Least Common Multiple of 62218 and 62226