What is the Greatest Common Factor of 28420 and 28437?

Greatest common factor (GCF) of 28420 and 28437 is 1.

GCF(28420,28437) = 1

We will now calculate the prime factors of 28420 and 28437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28420 and 28437.

How to find the GCF of 28420 and 28437?

We will first find the prime factorization of 28420 and 28437. After we will calculate the factors of 28420 and 28437 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 28437

Prime factors of 28437 are 3, 9479. Prime factorization of 28437 in exponential form is:

28437 = 3¹ × 9479¹

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 28437

List of positive integer factors of 28437 that divides 28420 without a remainder.

1, 3, 9479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28420 and 28437. The biggest common factor number is the GCF number.
So the greatest common factor 28420 and 28437 is 1.

Also check out the Least Common Multiple of 28420 and 28437