What is the Greatest Common Factor of 42218 and 42222?

Greatest common factor (GCF) of 42218 and 42222 is 2.

GCF(42218,42222) = 2

We will now calculate the prime factors of 42218 and 42222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42218 and 42222.

How to find the GCF of 42218 and 42222?

We will first find the prime factorization of 42218 and 42222. After we will calculate the factors of 42218 and 42222 and find the biggest common factor number .

Step-1: Prime Factorization of 42218

Prime factors of 42218 are 2, 11, 19, 101. Prime factorization of 42218 in exponential form is:

42218 = 2¹ × 11¹ × 19¹ × 101¹

Step-2: Prime Factorization of 42222

Prime factors of 42222 are 2, 3, 31, 227. Prime factorization of 42222 in exponential form is:

42222 = 2¹ × 3¹ × 31¹ × 227¹

Step-3: Factors of 42218

List of positive integer factors of 42218 that divides 42218 without a remainder.

1, 2, 11, 19, 22, 38, 101, 202, 209, 418, 1111, 1919, 2222, 3838, 21109

Step-4: Factors of 42222

List of positive integer factors of 42222 that divides 42218 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 227, 454, 681, 1362, 7037, 14074, 21111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42218 and 42222. The biggest common factor number is the GCF number.
So the greatest common factor 42218 and 42222 is 2.

Also check out the Least Common Multiple of 42218 and 42222