What is the Greatest Common Factor of 22880 and 22885?

Greatest common factor (GCF) of 22880 and 22885 is 5.

GCF(22880,22885) = 5

We will now calculate the prime factors of 22880 and 22885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22880 and 22885.

How to find the GCF of 22880 and 22885?

We will first find the prime factorization of 22880 and 22885. After we will calculate the factors of 22880 and 22885 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 22885

Prime factors of 22885 are 5, 23, 199. Prime factorization of 22885 in exponential form is:

22885 = 5¹ × 23¹ × 199¹

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 22885

List of positive integer factors of 22885 that divides 22880 without a remainder.

1, 5, 23, 115, 199, 995, 4577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22880 and 22885. The biggest common factor number is the GCF number.
So the greatest common factor 22880 and 22885 is 5.

Also check out the Least Common Multiple of 22880 and 22885