What is the Greatest Common Factor of 22644 and 22661?

Greatest common factor (GCF) of 22644 and 22661 is 17.

GCF(22644,22661) = 17

We will now calculate the prime factors of 22644 and 22661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22644 and 22661.

How to find the GCF of 22644 and 22661?

We will first find the prime factorization of 22644 and 22661. After we will calculate the factors of 22644 and 22661 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 22661

Prime factors of 22661 are 17, 31, 43. Prime factorization of 22661 in exponential form is:

22661 = 17¹ × 31¹ × 43¹

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 22661

List of positive integer factors of 22661 that divides 22644 without a remainder.

1, 17, 31, 43, 527, 731, 1333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22644 and 22661. The biggest common factor number is the GCF number.
So the greatest common factor 22644 and 22661 is 17.

Also check out the Least Common Multiple of 22644 and 22661