What is the Greatest Common Factor of 27504 and 27522?

Greatest common factor (GCF) of 27504 and 27522 is 18.

GCF(27504,27522) = 18

We will now calculate the prime factors of 27504 and 27522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27504 and 27522.

How to find the GCF of 27504 and 27522?

We will first find the prime factorization of 27504 and 27522. After we will calculate the factors of 27504 and 27522 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 27522

Prime factors of 27522 are 2, 3, 11, 139. Prime factorization of 27522 in exponential form is:

27522 = 2¹ × 3² × 11¹ × 139¹

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 27522

List of positive integer factors of 27522 that divides 27504 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 139, 198, 278, 417, 834, 1251, 1529, 2502, 3058, 4587, 9174, 13761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27504 and 27522. The biggest common factor number is the GCF number.
So the greatest common factor 27504 and 27522 is 18.

Also check out the Least Common Multiple of 27504 and 27522