What is the Greatest Common Factor of 28080 and 28094?

Greatest common factor (GCF) of 28080 and 28094 is 2.

GCF(28080,28094) = 2

We will now calculate the prime factors of 28080 and 28094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28080 and 28094.

How to find the GCF of 28080 and 28094?

We will first find the prime factorization of 28080 and 28094. After we will calculate the factors of 28080 and 28094 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 28094

Prime factors of 28094 are 2, 11, 1277. Prime factorization of 28094 in exponential form is:

28094 = 2¹ × 11¹ × 1277¹

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 28094

List of positive integer factors of 28094 that divides 28080 without a remainder.

1, 2, 11, 22, 1277, 2554, 14047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28080 and 28094. The biggest common factor number is the GCF number.
So the greatest common factor 28080 and 28094 is 2.

Also check out the Least Common Multiple of 28080 and 28094