What is the Greatest Common Factor of 22880 and 22890?

Greatest common factor (GCF) of 22880 and 22890 is 10.

GCF(22880,22890) = 10

We will now calculate the prime factors of 22880 and 22890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22880 and 22890.

How to find the GCF of 22880 and 22890?

We will first find the prime factorization of 22880 and 22890. After we will calculate the factors of 22880 and 22890 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 22890

Prime factors of 22890 are 2, 3, 5, 7, 109. Prime factorization of 22890 in exponential form is:

22890 = 2¹ × 3¹ × 5¹ × 7¹ × 109¹

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 22890

List of positive integer factors of 22890 that divides 22880 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 109, 210, 218, 327, 545, 654, 763, 1090, 1526, 1635, 2289, 3270, 3815, 4578, 7630, 11445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22880 and 22890. The biggest common factor number is the GCF number.
So the greatest common factor 22880 and 22890 is 10.

Also check out the Least Common Multiple of 22880 and 22890