What is the Greatest Common Factor of 22860 and 22880?

Greatest common factor (GCF) of 22860 and 22880 is 20.

GCF(22860,22880) = 20

We will now calculate the prime factors of 22860 and 22880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22860 and 22880.

How to find the GCF of 22860 and 22880?

We will first find the prime factorization of 22860 and 22880. After we will calculate the factors of 22860 and 22880 and find the biggest common factor number .

Step-1: Prime Factorization of 22860

Prime factors of 22860 are 2, 3, 5, 127. Prime factorization of 22860 in exponential form is:

22860 = 2² × 3² × 5¹ × 127¹

Step-2: 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-3: Factors of 22860

List of positive integer factors of 22860 that divides 22860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 127, 180, 254, 381, 508, 635, 762, 1143, 1270, 1524, 1905, 2286, 2540, 3810, 4572, 5715, 7620, 11430

Step-4: Factors of 22880

List of positive integer factors of 22880 that divides 22860 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22860 and 22880. The biggest common factor number is the GCF number.
So the greatest common factor 22860 and 22880 is 20.

Also check out the Least Common Multiple of 22860 and 22880