What is the Greatest Common Factor of 28080 and 28084?

Greatest common factor (GCF) of 28080 and 28084 is 4.

GCF(28080,28084) = 4

We will now calculate the prime factors of 28080 and 28084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28080 and 28084.

How to find the GCF of 28080 and 28084?

We will first find the prime factorization of 28080 and 28084. After we will calculate the factors of 28080 and 28084 and find the biggest common factor number .

Step-1: Prime Factorization of 28080

Prime factors of 28080 are 2, 3, 5, 13. Prime factorization of 28080 in exponential form is:

28080 = 2⁴ × 3³ × 5¹ × 13¹

Step-2: Prime Factorization of 28084

Prime factors of 28084 are 2, 7, 17, 59. Prime factorization of 28084 in exponential form is:

28084 = 2² × 7¹ × 17¹ × 59¹

Step-3: Factors of 28080

List of positive integer factors of 28080 that divides 28080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 48, 52, 54, 60, 65, 72, 78, 80, 90, 104, 108, 117, 120, 130, 135, 144, 156, 180, 195, 208, 216, 234, 240, 260, 270, 312, 351, 360, 390, 432, 468, 520, 540, 585, 624, 702, 720, 780, 936, 1040, 1080, 1170, 1404, 1560, 1755, 1872, 2160, 2340, 2808, 3120, 3510, 4680, 5616, 7020, 9360, 14040

Step-4: Factors of 28084

List of positive integer factors of 28084 that divides 28080 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 59, 68, 118, 119, 236, 238, 413, 476, 826, 1003, 1652, 2006, 4012, 7021, 14042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28080 and 28084. The biggest common factor number is the GCF number.
So the greatest common factor 28080 and 28084 is 4.

Also check out the Least Common Multiple of 28080 and 28084