What is the Greatest Common Factor of 22880 and 22893?

Greatest common factor (GCF) of 22880 and 22893 is 13.

GCF(22880,22893) = 13

We will now calculate the prime factors of 22880 and 22893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22880 and 22893.

How to find the GCF of 22880 and 22893?

We will first find the prime factorization of 22880 and 22893. After we will calculate the factors of 22880 and 22893 and find the biggest common factor number .

Step-1: Prime Factorization of 22880

Prime factors of 22880 are 2, 5, 11, 13. Prime factorization of 22880 in exponential form is:

22880 = 2⁵ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 22893

Prime factors of 22893 are 3, 13, 587. Prime factorization of 22893 in exponential form is:

22893 = 3¹ × 13¹ × 587¹

Step-3: Factors of 22880

List of positive integer factors of 22880 that divides 22880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 32, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 160, 176, 208, 220, 260, 286, 352, 416, 440, 520, 572, 715, 880, 1040, 1144, 1430, 1760, 2080, 2288, 2860, 4576, 5720, 11440

Step-4: Factors of 22893

List of positive integer factors of 22893 that divides 22880 without a remainder.

1, 3, 13, 39, 587, 1761, 7631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22880 and 22893. The biggest common factor number is the GCF number.
So the greatest common factor 22880 and 22893 is 13.

Also check out the Least Common Multiple of 22880 and 22893