What is the Greatest Common Factor of 28080 and 28092?

Greatest common factor (GCF) of 28080 and 28092 is 12.

GCF(28080,28092) = 12

We will now calculate the prime factors of 28080 and 28092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28080 and 28092.

How to find the GCF of 28080 and 28092?

We will first find the prime factorization of 28080 and 28092. After we will calculate the factors of 28080 and 28092 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 28092

Prime factors of 28092 are 2, 3, 2341. Prime factorization of 28092 in exponential form is:

28092 = 2² × 3¹ × 2341¹

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 28092

List of positive integer factors of 28092 that divides 28080 without a remainder.

1, 2, 3, 4, 6, 12, 2341, 4682, 7023, 9364, 14046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28080 and 28092. The biggest common factor number is the GCF number.
So the greatest common factor 28080 and 28092 is 12.

Also check out the Least Common Multiple of 28080 and 28092