What is the Greatest Common Factor of 28560 and 28580?

Greatest common factor (GCF) of 28560 and 28580 is 20.

GCF(28560,28580) = 20

We will now calculate the prime factors of 28560 and 28580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28560 and 28580.

How to find the GCF of 28560 and 28580?

We will first find the prime factorization of 28560 and 28580. After we will calculate the factors of 28560 and 28580 and find the biggest common factor number .

Step-1: Prime Factorization of 28560

Prime factors of 28560 are 2, 3, 5, 7, 17. Prime factorization of 28560 in exponential form is:

28560 = 2⁴ × 3¹ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 28580

Prime factors of 28580 are 2, 5, 1429. Prime factorization of 28580 in exponential form is:

28580 = 2² × 5¹ × 1429¹

Step-3: Factors of 28560

List of positive integer factors of 28560 that divides 28560 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 17, 20, 21, 24, 28, 30, 34, 35, 40, 42, 48, 51, 56, 60, 68, 70, 80, 84, 85, 102, 105, 112, 119, 120, 136, 140, 168, 170, 204, 210, 238, 240, 255, 272, 280, 336, 340, 357, 408, 420, 476, 510, 560, 595, 680, 714, 816, 840, 952, 1020, 1190, 1360, 1428, 1680, 1785, 1904, 2040, 2380, 2856, 3570, 4080, 4760, 5712, 7140, 9520, 14280

Step-4: Factors of 28580

List of positive integer factors of 28580 that divides 28560 without a remainder.

1, 2, 4, 5, 10, 20, 1429, 2858, 5716, 7145, 14290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28560 and 28580. The biggest common factor number is the GCF number.
So the greatest common factor 28560 and 28580 is 20.

Also check out the Least Common Multiple of 28560 and 28580