What is the Greatest Common Factor of 28440 and 28449?

Greatest common factor (GCF) of 28440 and 28449 is 9.

GCF(28440,28449) = 9

We will now calculate the prime factors of 28440 and 28449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28440 and 28449.

How to find the GCF of 28440 and 28449?

We will first find the prime factorization of 28440 and 28449. After we will calculate the factors of 28440 and 28449 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 28449

Prime factors of 28449 are 3, 29, 109. Prime factorization of 28449 in exponential form is:

28449 = 3² × 29¹ × 109¹

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 28449

List of positive integer factors of 28449 that divides 28440 without a remainder.

1, 3, 9, 29, 87, 109, 261, 327, 981, 3161, 9483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28440 and 28449. The biggest common factor number is the GCF number.
So the greatest common factor 28440 and 28449 is 9.

Also check out the Least Common Multiple of 28440 and 28449