What is the Greatest Common Factor of 22638 and 22642?

Greatest common factor (GCF) of 22638 and 22642 is 2.

GCF(22638,22642) = 2

We will now calculate the prime factors of 22638 and 22642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22638 and 22642.

How to find the GCF of 22638 and 22642?

We will first find the prime factorization of 22638 and 22642. After we will calculate the factors of 22638 and 22642 and find the biggest common factor number .

Step-1: Prime Factorization of 22638

Prime factors of 22638 are 2, 3, 7, 11. Prime factorization of 22638 in exponential form is:

22638 = 2¹ × 3¹ × 7³ × 11¹

Step-2: Prime Factorization of 22642

Prime factors of 22642 are 2, 11321. Prime factorization of 22642 in exponential form is:

22642 = 2¹ × 11321¹

Step-3: Factors of 22638

List of positive integer factors of 22638 that divides 22638 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 343, 462, 539, 686, 1029, 1078, 1617, 2058, 3234, 3773, 7546, 11319

Step-4: Factors of 22642

List of positive integer factors of 22642 that divides 22638 without a remainder.

1, 2, 11321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22638 and 22642. The biggest common factor number is the GCF number.
So the greatest common factor 22638 and 22642 is 2.

Also check out the Least Common Multiple of 22638 and 22642