What is the Greatest Common Factor of 28005 and 28020?

Greatest common factor (GCF) of 28005 and 28020 is 15.

GCF(28005,28020) = 15

We will now calculate the prime factors of 28005 and 28020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28005 and 28020.

How to find the GCF of 28005 and 28020?

We will first find the prime factorization of 28005 and 28020. After we will calculate the factors of 28005 and 28020 and find the biggest common factor number .

Step-1: Prime Factorization of 28005

Prime factors of 28005 are 3, 5, 1867. Prime factorization of 28005 in exponential form is:

28005 = 3¹ × 5¹ × 1867¹

Step-2: 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-3: Factors of 28005

List of positive integer factors of 28005 that divides 28005 without a remainder.

1, 3, 5, 15, 1867, 5601, 9335

Step-4: Factors of 28020

List of positive integer factors of 28020 that divides 28005 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28005 and 28020. The biggest common factor number is the GCF number.
So the greatest common factor 28005 and 28020 is 15.

Also check out the Least Common Multiple of 28005 and 28020