What is the Greatest Common Factor of 28400 and 28408?

Greatest common factor (GCF) of 28400 and 28408 is 8.

GCF(28400,28408) = 8

We will now calculate the prime factors of 28400 and 28408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28400 and 28408.

How to find the GCF of 28400 and 28408?

We will first find the prime factorization of 28400 and 28408. After we will calculate the factors of 28400 and 28408 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 28408

Prime factors of 28408 are 2, 53, 67. Prime factorization of 28408 in exponential form is:

28408 = 2³ × 53¹ × 67¹

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 28408

List of positive integer factors of 28408 that divides 28400 without a remainder.

1, 2, 4, 8, 53, 67, 106, 134, 212, 268, 424, 536, 3551, 7102, 14204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28400 and 28408. The biggest common factor number is the GCF number.
So the greatest common factor 28400 and 28408 is 8.

Also check out the Least Common Multiple of 28400 and 28408