What is the Greatest Common Factor of 28440 and 28458?

Greatest common factor (GCF) of 28440 and 28458 is 18.

GCF(28440,28458) = 18

We will now calculate the prime factors of 28440 and 28458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28440 and 28458.

How to find the GCF of 28440 and 28458?

We will first find the prime factorization of 28440 and 28458. After we will calculate the factors of 28440 and 28458 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28458

Prime factors of 28458 are 2, 3, 17, 31. Prime factorization of 28458 in exponential form is:

28458 = 2¹ × 3³ × 17¹ × 31¹

Step-3: Factors of 28440

List of positive integer factors of 28440 that divides 28440 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

Step-4: Factors of 28458

List of positive integer factors of 28458 that divides 28440 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 31, 34, 51, 54, 62, 93, 102, 153, 186, 279, 306, 459, 527, 558, 837, 918, 1054, 1581, 1674, 3162, 4743, 9486, 14229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28440 and 28458. The biggest common factor number is the GCF number.
So the greatest common factor 28440 and 28458 is 18.

Also check out the Least Common Multiple of 28440 and 28458