What is the Greatest Common Factor of 28420 and 28439?

Greatest common factor (GCF) of 28420 and 28439 is 1.

GCF(28420,28439) = 1

We will now calculate the prime factors of 28420 and 28439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28420 and 28439.

How to find the GCF of 28420 and 28439?

We will first find the prime factorization of 28420 and 28439. After we will calculate the factors of 28420 and 28439 and find the biggest common factor number .

Step-1: Prime Factorization of 28420

Prime factors of 28420 are 2, 5, 7, 29. Prime factorization of 28420 in exponential form is:

28420 = 2² × 5¹ × 7² × 29¹

Step-2: Prime Factorization of 28439

Prime factors of 28439 are 28439. Prime factorization of 28439 in exponential form is:

28439 = 28439¹

Step-3: Factors of 28420

List of positive integer factors of 28420 that divides 28420 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 49, 58, 70, 98, 116, 140, 145, 196, 203, 245, 290, 406, 490, 580, 812, 980, 1015, 1421, 2030, 2842, 4060, 5684, 7105, 14210

Step-4: Factors of 28439

List of positive integer factors of 28439 that divides 28420 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28420 and 28439. The biggest common factor number is the GCF number.
So the greatest common factor 28420 and 28439 is 1.

Also check out the Least Common Multiple of 28420 and 28439