What is the Greatest Common Factor of 22646 and 22666?

Greatest common factor (GCF) of 22646 and 22666 is 2.

GCF(22646,22666) = 2

We will now calculate the prime factors of 22646 and 22666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22646 and 22666.

How to find the GCF of 22646 and 22666?

We will first find the prime factorization of 22646 and 22666. After we will calculate the factors of 22646 and 22666 and find the biggest common factor number .

Step-1: Prime Factorization of 22646

Prime factors of 22646 are 2, 13, 67. Prime factorization of 22646 in exponential form is:

22646 = 2¹ × 13² × 67¹

Step-2: Prime Factorization of 22666

Prime factors of 22666 are 2, 7, 1619. Prime factorization of 22666 in exponential form is:

22666 = 2¹ × 7¹ × 1619¹

Step-3: Factors of 22646

List of positive integer factors of 22646 that divides 22646 without a remainder.

1, 2, 13, 26, 67, 134, 169, 338, 871, 1742, 11323

Step-4: Factors of 22666

List of positive integer factors of 22666 that divides 22646 without a remainder.

1, 2, 7, 14, 1619, 3238, 11333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22646 and 22666. The biggest common factor number is the GCF number.
So the greatest common factor 22646 and 22666 is 2.

Also check out the Least Common Multiple of 22646 and 22666