What is the Greatest Common Factor of 28072 and 28080?

Greatest common factor (GCF) of 28072 and 28080 is 8.

GCF(28072,28080) = 8

We will now calculate the prime factors of 28072 and 28080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28072 and 28080.

How to find the GCF of 28072 and 28080?

We will first find the prime factorization of 28072 and 28080. After we will calculate the factors of 28072 and 28080 and find the biggest common factor number .

Step-1: Prime Factorization of 28072

Prime factors of 28072 are 2, 11, 29. Prime factorization of 28072 in exponential form is:

28072 = 2³ × 11² × 29¹

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 28072

List of positive integer factors of 28072 that divides 28072 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 121, 232, 242, 319, 484, 638, 968, 1276, 2552, 3509, 7018, 14036

Step-4: Factors of 28080

List of positive integer factors of 28080 that divides 28072 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 28072 and 28080. The biggest common factor number is the GCF number.
So the greatest common factor 28072 and 28080 is 8.

Also check out the Least Common Multiple of 28072 and 28080