What is the Greatest Common Factor of 28424 and 28440?

Greatest common factor (GCF) of 28424 and 28440 is 8.

GCF(28424,28440) = 8

We will now calculate the prime factors of 28424 and 28440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28424 and 28440.

How to find the GCF of 28424 and 28440?

We will first find the prime factorization of 28424 and 28440. After we will calculate the factors of 28424 and 28440 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28440

Prime factors of 28440 are 2, 3, 5, 79. Prime factorization of 28440 in exponential form is:

28440 = 2³ × 3² × 5¹ × 79¹

Step-3: Factors of 28424

List of positive integer factors of 28424 that divides 28424 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

Step-4: Factors of 28440

List of positive integer factors of 28440 that divides 28424 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 79, 90, 120, 158, 180, 237, 316, 360, 395, 474, 632, 711, 790, 948, 1185, 1422, 1580, 1896, 2370, 2844, 3160, 3555, 4740, 5688, 7110, 9480, 14220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28424 and 28440. The biggest common factor number is the GCF number.
So the greatest common factor 28424 and 28440 is 8.

Also check out the Least Common Multiple of 28424 and 28440