What is the Greatest Common Factor of 28422 and 28440?

Greatest common factor (GCF) of 28422 and 28440 is 18.

GCF(28422,28440) = 18

We will now calculate the prime factors of 28422 and 28440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28422 and 28440.

How to find the GCF of 28422 and 28440?

We will first find the prime factorization of 28422 and 28440. After we will calculate the factors of 28422 and 28440 and find the biggest common factor number .

Step-1: Prime Factorization of 28422

Prime factors of 28422 are 2, 3, 1579. Prime factorization of 28422 in exponential form is:

28422 = 2¹ × 3² × 1579¹

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 28422

List of positive integer factors of 28422 that divides 28422 without a remainder.

1, 2, 3, 6, 9, 18, 1579, 3158, 4737, 9474, 14211

Step-4: Factors of 28440

List of positive integer factors of 28440 that divides 28422 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 28422 and 28440. The biggest common factor number is the GCF number.
So the greatest common factor 28422 and 28440 is 18.

Also check out the Least Common Multiple of 28422 and 28440