What is the Greatest Common Factor of 22527 and 22542?

Greatest common factor (GCF) of 22527 and 22542 is 3.

GCF(22527,22542) = 3

We will now calculate the prime factors of 22527 and 22542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22527 and 22542.

How to find the GCF of 22527 and 22542?

We will first find the prime factorization of 22527 and 22542. After we will calculate the factors of 22527 and 22542 and find the biggest common factor number .

Step-1: Prime Factorization of 22527

Prime factors of 22527 are 3, 2503. Prime factorization of 22527 in exponential form is:

22527 = 3² × 2503¹

Step-2: Prime Factorization of 22542

Prime factors of 22542 are 2, 3, 13, 17. Prime factorization of 22542 in exponential form is:

22542 = 2¹ × 3¹ × 13¹ × 17²

Step-3: Factors of 22527

List of positive integer factors of 22527 that divides 22527 without a remainder.

1, 3, 9, 2503, 7509

Step-4: Factors of 22542

List of positive integer factors of 22542 that divides 22527 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 289, 442, 578, 663, 867, 1326, 1734, 3757, 7514, 11271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22527 and 22542. The biggest common factor number is the GCF number.
So the greatest common factor 22527 and 22542 is 3.

Also check out the Least Common Multiple of 22527 and 22542