What is the Greatest Common Factor of 28400 and 28419?

Greatest common factor (GCF) of 28400 and 28419 is 1.

GCF(28400,28419) = 1

We will now calculate the prime factors of 28400 and 28419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28400 and 28419.

How to find the GCF of 28400 and 28419?

We will first find the prime factorization of 28400 and 28419. After we will calculate the factors of 28400 and 28419 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 28419

Prime factors of 28419 are 3, 9473. Prime factorization of 28419 in exponential form is:

28419 = 3¹ × 9473¹

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 28419

List of positive integer factors of 28419 that divides 28400 without a remainder.

1, 3, 9473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28400 and 28419. The biggest common factor number is the GCF number.
So the greatest common factor 28400 and 28419 is 1.

Also check out the Least Common Multiple of 28400 and 28419