What is the Greatest Common Factor of 28415 and 28424?

Greatest common factor (GCF) of 28415 and 28424 is 1.

GCF(28415,28424) = 1

We will now calculate the prime factors of 28415 and 28424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28415 and 28424.

How to find the GCF of 28415 and 28424?

We will first find the prime factorization of 28415 and 28424. After we will calculate the factors of 28415 and 28424 and find the biggest common factor number .

Step-1: Prime Factorization of 28415

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

28415 = 5¹ × 5683¹

Step-2: Prime Factorization of 28424

Prime factors of 28424 are 2, 11, 17, 19. Prime factorization of 28424 in exponential form is:

28424 = 2³ × 11¹ × 17¹ × 19¹

Step-3: Factors of 28415

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

1, 5, 5683

Step-4: Factors of 28424

List of positive integer factors of 28424 that divides 28415 without a remainder.

1, 2, 4, 8, 11, 17, 19, 22, 34, 38, 44, 68, 76, 88, 136, 152, 187, 209, 323, 374, 418, 646, 748, 836, 1292, 1496, 1672, 2584, 3553, 7106, 14212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28415 and 28424. The biggest common factor number is the GCF number.
So the greatest common factor 28415 and 28424 is 1.

Also check out the Least Common Multiple of 28415 and 28424