What is the Greatest Common Factor of 28400 and 28415?

Greatest common factor (GCF) of 28400 and 28415 is 5.

GCF(28400,28415) = 5

We will now calculate the prime factors of 28400 and 28415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28400 and 28415.

How to find the GCF of 28400 and 28415?

We will first find the prime factorization of 28400 and 28415. After we will calculate the factors of 28400 and 28415 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28415

Prime factors of 28415 are 5, 5683. Prime factorization of 28415 in exponential form is:

28415 = 5¹ × 5683¹

Step-3: Factors of 28400

List of positive integer factors of 28400 that divides 28400 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

Step-4: Factors of 28415

List of positive integer factors of 28415 that divides 28400 without a remainder.

1, 5, 5683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28400 and 28415. The biggest common factor number is the GCF number.
So the greatest common factor 28400 and 28415 is 5.

Also check out the Least Common Multiple of 28400 and 28415