What is the Greatest Common Factor of 28040 and 28060?

Greatest common factor (GCF) of 28040 and 28060 is 20.

GCF(28040,28060) = 20

We will now calculate the prime factors of 28040 and 28060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28040 and 28060.

How to find the GCF of 28040 and 28060?

We will first find the prime factorization of 28040 and 28060. After we will calculate the factors of 28040 and 28060 and find the biggest common factor number .

Step-1: Prime Factorization of 28040

Prime factors of 28040 are 2, 5, 701. Prime factorization of 28040 in exponential form is:

28040 = 2³ × 5¹ × 701¹

Step-2: Prime Factorization of 28060

Prime factors of 28060 are 2, 5, 23, 61. Prime factorization of 28060 in exponential form is:

28060 = 2² × 5¹ × 23¹ × 61¹

Step-3: Factors of 28040

List of positive integer factors of 28040 that divides 28040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 701, 1402, 2804, 3505, 5608, 7010, 14020

Step-4: Factors of 28060

List of positive integer factors of 28060 that divides 28040 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 61, 92, 115, 122, 230, 244, 305, 460, 610, 1220, 1403, 2806, 5612, 7015, 14030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28040 and 28060. The biggest common factor number is the GCF number.
So the greatest common factor 28040 and 28060 is 20.

Also check out the Least Common Multiple of 28040 and 28060