What is the Greatest Common Factor of 27504 and 27509?

Greatest common factor (GCF) of 27504 and 27509 is 1.

GCF(27504,27509) = 1

We will now calculate the prime factors of 27504 and 27509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27504 and 27509.

How to find the GCF of 27504 and 27509?

We will first find the prime factorization of 27504 and 27509. After we will calculate the factors of 27504 and 27509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27509

Prime factors of 27509 are 27509. Prime factorization of 27509 in exponential form is:

27509 = 27509¹

Step-3: Factors of 27504

List of positive integer factors of 27504 that divides 27504 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

Step-4: Factors of 27509

List of positive integer factors of 27509 that divides 27504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27504 and 27509. The biggest common factor number is the GCF number.
So the greatest common factor 27504 and 27509 is 1.

Also check out the Least Common Multiple of 27504 and 27509