What is the Greatest Common Factor of 22542 and 22562?

Greatest common factor (GCF) of 22542 and 22562 is 2.

GCF(22542,22562) = 2

We will now calculate the prime factors of 22542 and 22562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22542 and 22562.

How to find the GCF of 22542 and 22562?

We will first find the prime factorization of 22542 and 22562. After we will calculate the factors of 22542 and 22562 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22562

Prime factors of 22562 are 2, 29, 389. Prime factorization of 22562 in exponential form is:

22562 = 2¹ × 29¹ × 389¹

Step-3: Factors of 22542

List of positive integer factors of 22542 that divides 22542 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

Step-4: Factors of 22562

List of positive integer factors of 22562 that divides 22542 without a remainder.

1, 2, 29, 58, 389, 778, 11281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22542 and 22562. The biggest common factor number is the GCF number.
So the greatest common factor 22542 and 22562 is 2.

Also check out the Least Common Multiple of 22542 and 22562