What is the Greatest Common Factor of 22422 and 22431?

Greatest common factor (GCF) of 22422 and 22431 is 3.

GCF(22422,22431) = 3

We will now calculate the prime factors of 22422 and 22431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22422 and 22431.

How to find the GCF of 22422 and 22431?

We will first find the prime factorization of 22422 and 22431. After we will calculate the factors of 22422 and 22431 and find the biggest common factor number .

Step-1: Prime Factorization of 22422

Prime factors of 22422 are 2, 3, 37, 101. Prime factorization of 22422 in exponential form is:

22422 = 2¹ × 3¹ × 37¹ × 101¹

Step-2: Prime Factorization of 22431

Prime factors of 22431 are 3, 7477. Prime factorization of 22431 in exponential form is:

22431 = 3¹ × 7477¹

Step-3: Factors of 22422

List of positive integer factors of 22422 that divides 22422 without a remainder.

1, 2, 3, 6, 37, 74, 101, 111, 202, 222, 303, 606, 3737, 7474, 11211

Step-4: Factors of 22431

List of positive integer factors of 22431 that divides 22422 without a remainder.

1, 3, 7477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22422 and 22431. The biggest common factor number is the GCF number.
So the greatest common factor 22422 and 22431 is 3.

Also check out the Least Common Multiple of 22422 and 22431