What is the Greatest Common Factor of 28414 and 28424?

Greatest common factor (GCF) of 28414 and 28424 is 2.

GCF(28414,28424) = 2

We will now calculate the prime factors of 28414 and 28424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28414 and 28424.

How to find the GCF of 28414 and 28424?

We will first find the prime factorization of 28414 and 28424. After we will calculate the factors of 28414 and 28424 and find the biggest common factor number .

Step-1: Prime Factorization of 28414

Prime factors of 28414 are 2, 14207. Prime factorization of 28414 in exponential form is:

28414 = 2¹ × 14207¹

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 28414

List of positive integer factors of 28414 that divides 28414 without a remainder.

1, 2, 14207

Step-4: Factors of 28424

List of positive integer factors of 28424 that divides 28414 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 28414 and 28424. The biggest common factor number is the GCF number.
So the greatest common factor 28414 and 28424 is 2.

Also check out the Least Common Multiple of 28414 and 28424