What is the Greatest Common Factor of 22662 and 22667?

Greatest common factor (GCF) of 22662 and 22667 is 1.

GCF(22662,22667) = 1

We will now calculate the prime factors of 22662 and 22667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22662 and 22667.

How to find the GCF of 22662 and 22667?

We will first find the prime factorization of 22662 and 22667. After we will calculate the factors of 22662 and 22667 and find the biggest common factor number .

Step-1: Prime Factorization of 22662

Prime factors of 22662 are 2, 3, 1259. Prime factorization of 22662 in exponential form is:

22662 = 2¹ × 3² × 1259¹

Step-2: Prime Factorization of 22667

Prime factors of 22667 are 19, 1193. Prime factorization of 22667 in exponential form is:

22667 = 19¹ × 1193¹

Step-3: Factors of 22662

List of positive integer factors of 22662 that divides 22662 without a remainder.

1, 2, 3, 6, 9, 18, 1259, 2518, 3777, 7554, 11331

Step-4: Factors of 22667

List of positive integer factors of 22667 that divides 22662 without a remainder.

1, 19, 1193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22662 and 22667. The biggest common factor number is the GCF number.
So the greatest common factor 22662 and 22667 is 1.

Also check out the Least Common Multiple of 22662 and 22667