What is the Greatest Common Factor of 27489 and 27504?

Greatest common factor (GCF) of 27489 and 27504 is 3.

GCF(27489,27504) = 3

We will now calculate the prime factors of 27489 and 27504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27489 and 27504.

How to find the GCF of 27489 and 27504?

We will first find the prime factorization of 27489 and 27504. After we will calculate the factors of 27489 and 27504 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27504

Prime factors of 27504 are 2, 3, 191. Prime factorization of 27504 in exponential form is:

27504 = 2⁴ × 3² × 191¹

Step-3: Factors of 27489

List of positive integer factors of 27489 that divides 27489 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

Step-4: Factors of 27504

List of positive integer factors of 27504 that divides 27489 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 191, 382, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 6876, 9168, 13752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27489 and 27504. The biggest common factor number is the GCF number.
So the greatest common factor 27489 and 27504 is 3.

Also check out the Least Common Multiple of 27489 and 27504