What is the Greatest Common Factor of 28390 and 28400?

Greatest common factor (GCF) of 28390 and 28400 is 10.

GCF(28390,28400) = 10

We will now calculate the prime factors of 28390 and 28400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28390 and 28400.

How to find the GCF of 28390 and 28400?

We will first find the prime factorization of 28390 and 28400. After we will calculate the factors of 28390 and 28400 and find the biggest common factor number .

Step-1: Prime Factorization of 28390

Prime factors of 28390 are 2, 5, 17, 167. Prime factorization of 28390 in exponential form is:

28390 = 2¹ × 5¹ × 17¹ × 167¹

Step-2: Prime Factorization of 28400

Prime factors of 28400 are 2, 5, 71. Prime factorization of 28400 in exponential form is:

28400 = 2⁴ × 5² × 71¹

Step-3: Factors of 28390

List of positive integer factors of 28390 that divides 28390 without a remainder.

1, 2, 5, 10, 17, 34, 85, 167, 170, 334, 835, 1670, 2839, 5678, 14195

Step-4: Factors of 28400

List of positive integer factors of 28400 that divides 28390 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 71, 80, 100, 142, 200, 284, 355, 400, 568, 710, 1136, 1420, 1775, 2840, 3550, 5680, 7100, 14200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28390 and 28400. The biggest common factor number is the GCF number.
So the greatest common factor 28390 and 28400 is 10.

Also check out the Least Common Multiple of 28390 and 28400