What is the Greatest Common Factor of 28069 and 28080?

Greatest common factor (GCF) of 28069 and 28080 is 1.

GCF(28069,28080) = 1

We will now calculate the prime factors of 28069 and 28080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28069 and 28080.

How to find the GCF of 28069 and 28080?

We will first find the prime factorization of 28069 and 28080. After we will calculate the factors of 28069 and 28080 and find the biggest common factor number .

Step-1: Prime Factorization of 28069

Prime factors of 28069 are 28069. Prime factorization of 28069 in exponential form is:

28069 = 28069¹

Step-2: 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-3: Factors of 28069

List of positive integer factors of 28069 that divides 28069 without a remainder.

Step-4: Factors of 28080

List of positive integer factors of 28080 that divides 28069 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28069 and 28080. The biggest common factor number is the GCF number.
So the greatest common factor 28069 and 28080 is 1.

Also check out the Least Common Multiple of 28069 and 28080