What is the Greatest Common Factor of 28020 and 28032?

Greatest common factor (GCF) of 28020 and 28032 is 12.

GCF(28020,28032) = 12

We will now calculate the prime factors of 28020 and 28032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28020 and 28032.

How to find the GCF of 28020 and 28032?

We will first find the prime factorization of 28020 and 28032. After we will calculate the factors of 28020 and 28032 and find the biggest common factor number .

Step-1: Prime Factorization of 28020

Prime factors of 28020 are 2, 3, 5, 467. Prime factorization of 28020 in exponential form is:

28020 = 2² × 3¹ × 5¹ × 467¹

Step-2: Prime Factorization of 28032

Prime factors of 28032 are 2, 3, 73. Prime factorization of 28032 in exponential form is:

28032 = 2⁷ × 3¹ × 73¹

Step-3: Factors of 28020

List of positive integer factors of 28020 that divides 28020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 467, 934, 1401, 1868, 2335, 2802, 4670, 5604, 7005, 9340, 14010

Step-4: Factors of 28032

List of positive integer factors of 28032 that divides 28020 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 73, 96, 128, 146, 192, 219, 292, 384, 438, 584, 876, 1168, 1752, 2336, 3504, 4672, 7008, 9344, 14016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28020 and 28032. The biggest common factor number is the GCF number.
So the greatest common factor 28020 and 28032 is 12.

Also check out the Least Common Multiple of 28020 and 28032