What is the Greatest Common Factor of 22644 and 22663?

Greatest common factor (GCF) of 22644 and 22663 is 1.

GCF(22644,22663) = 1

We will now calculate the prime factors of 22644 and 22663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22644 and 22663.

How to find the GCF of 22644 and 22663?

We will first find the prime factorization of 22644 and 22663. After we will calculate the factors of 22644 and 22663 and find the biggest common factor number .

Step-1: Prime Factorization of 22644

Prime factors of 22644 are 2, 3, 17, 37. Prime factorization of 22644 in exponential form is:

22644 = 2² × 3² × 17¹ × 37¹

Step-2: Prime Factorization of 22663

Prime factors of 22663 are 131, 173. Prime factorization of 22663 in exponential form is:

22663 = 131¹ × 173¹

Step-3: Factors of 22644

List of positive integer factors of 22644 that divides 22644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 37, 51, 68, 74, 102, 111, 148, 153, 204, 222, 306, 333, 444, 612, 629, 666, 1258, 1332, 1887, 2516, 3774, 5661, 7548, 11322

Step-4: Factors of 22663

List of positive integer factors of 22663 that divides 22644 without a remainder.

1, 131, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22644 and 22663. The biggest common factor number is the GCF number.
So the greatest common factor 22644 and 22663 is 1.

Also check out the Least Common Multiple of 22644 and 22663