What is the Greatest Common Factor of 22218 and 22234?

Greatest common factor (GCF) of 22218 and 22234 is 2.

GCF(22218,22234) = 2

We will now calculate the prime factors of 22218 and 22234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22218 and 22234.

How to find the GCF of 22218 and 22234?

We will first find the prime factorization of 22218 and 22234. After we will calculate the factors of 22218 and 22234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22234

Prime factors of 22234 are 2, 11117. Prime factorization of 22234 in exponential form is:

22234 = 2¹ × 11117¹

Step-3: Factors of 22218

List of positive integer factors of 22218 that divides 22218 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

Step-4: Factors of 22234

List of positive integer factors of 22234 that divides 22218 without a remainder.

1, 2, 11117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22218 and 22234. The biggest common factor number is the GCF number.
So the greatest common factor 22218 and 22234 is 2.

Also check out the Least Common Multiple of 22218 and 22234