What is the Greatest Common Factor of 27483 and 27489?

Greatest common factor (GCF) of 27483 and 27489 is 3.

GCF(27483,27489) = 3

We will now calculate the prime factors of 27483 and 27489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27483 and 27489.

How to find the GCF of 27483 and 27489?

We will first find the prime factorization of 27483 and 27489. After we will calculate the factors of 27483 and 27489 and find the biggest common factor number .

Step-1: Prime Factorization of 27483

Prime factors of 27483 are 3, 9161. Prime factorization of 27483 in exponential form is:

27483 = 3¹ × 9161¹

Step-2: Prime Factorization of 27489

Prime factors of 27489 are 3, 7, 11, 17. Prime factorization of 27489 in exponential form is:

27489 = 3¹ × 7² × 11¹ × 17¹

Step-3: Factors of 27483

List of positive integer factors of 27483 that divides 27483 without a remainder.

1, 3, 9161

Step-4: Factors of 27489

List of positive integer factors of 27489 that divides 27483 without a remainder.

1, 3, 7, 11, 17, 21, 33, 49, 51, 77, 119, 147, 187, 231, 357, 539, 561, 833, 1309, 1617, 2499, 3927, 9163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27483 and 27489. The biggest common factor number is the GCF number.
So the greatest common factor 27483 and 27489 is 3.

Also check out the Least Common Multiple of 27483 and 27489