What is the Greatest Common Factor of 22733 and 22743?

Greatest common factor (GCF) of 22733 and 22743 is 1.

GCF(22733,22743) = 1

We will now calculate the prime factors of 22733 and 22743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22733 and 22743.

How to find the GCF of 22733 and 22743?

We will first find the prime factorization of 22733 and 22743. After we will calculate the factors of 22733 and 22743 and find the biggest common factor number .

Step-1: Prime Factorization of 22733

Prime factors of 22733 are 127, 179. Prime factorization of 22733 in exponential form is:

22733 = 127¹ × 179¹

Step-2: Prime Factorization of 22743

Prime factors of 22743 are 3, 7, 19. Prime factorization of 22743 in exponential form is:

22743 = 3² × 7¹ × 19²

Step-3: Factors of 22733

List of positive integer factors of 22733 that divides 22733 without a remainder.

1, 127, 179

Step-4: Factors of 22743

List of positive integer factors of 22743 that divides 22733 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 361, 399, 1083, 1197, 2527, 3249, 7581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22733 and 22743. The biggest common factor number is the GCF number.
So the greatest common factor 22733 and 22743 is 1.

Also check out the Least Common Multiple of 22733 and 22743