What is the Greatest Common Factor of 22214 and 22218?

Greatest common factor (GCF) of 22214 and 22218 is 2.

GCF(22214,22218) = 2

We will now calculate the prime factors of 22214 and 22218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22214 and 22218.

How to find the GCF of 22214 and 22218?

We will first find the prime factorization of 22214 and 22218. After we will calculate the factors of 22214 and 22218 and find the biggest common factor number .

Step-1: Prime Factorization of 22214

Prime factors of 22214 are 2, 29, 383. Prime factorization of 22214 in exponential form is:

22214 = 2¹ × 29¹ × 383¹

Step-2: Prime Factorization of 22218

Prime factors of 22218 are 2, 3, 7, 23. Prime factorization of 22218 in exponential form is:

22218 = 2¹ × 3¹ × 7¹ × 23²

Step-3: Factors of 22214

List of positive integer factors of 22214 that divides 22214 without a remainder.

1, 2, 29, 58, 383, 766, 11107

Step-4: Factors of 22218

List of positive integer factors of 22218 that divides 22214 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 529, 966, 1058, 1587, 3174, 3703, 7406, 11109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22214 and 22218. The biggest common factor number is the GCF number.
So the greatest common factor 22214 and 22218 is 2.

Also check out the Least Common Multiple of 22214 and 22218