What is the Greatest Common Factor of 28545 and 28560?

Greatest common factor (GCF) of 28545 and 28560 is 15.

GCF(28545,28560) = 15

We will now calculate the prime factors of 28545 and 28560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28545 and 28560.

How to find the GCF of 28545 and 28560?

We will first find the prime factorization of 28545 and 28560. After we will calculate the factors of 28545 and 28560 and find the biggest common factor number .

Step-1: Prime Factorization of 28545

Prime factors of 28545 are 3, 5, 11, 173. Prime factorization of 28545 in exponential form is:

28545 = 3¹ × 5¹ × 11¹ × 173¹

Step-2: 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-3: Factors of 28545

List of positive integer factors of 28545 that divides 28545 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 173, 519, 865, 1903, 2595, 5709, 9515

Step-4: Factors of 28560

List of positive integer factors of 28560 that divides 28545 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28545 and 28560. The biggest common factor number is the GCF number.
So the greatest common factor 28545 and 28560 is 15.

Also check out the Least Common Multiple of 28545 and 28560