What is the Greatest Common Factor of 27192 and 27204?

Greatest common factor (GCF) of 27192 and 27204 is 12.

GCF(27192,27204) = 12

We will now calculate the prime factors of 27192 and 27204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27192 and 27204.

How to find the GCF of 27192 and 27204?

We will first find the prime factorization of 27192 and 27204. After we will calculate the factors of 27192 and 27204 and find the biggest common factor number .

Step-1: Prime Factorization of 27192

Prime factors of 27192 are 2, 3, 11, 103. Prime factorization of 27192 in exponential form is:

27192 = 2³ × 3¹ × 11¹ × 103¹

Step-2: Prime Factorization of 27204

Prime factors of 27204 are 2, 3, 2267. Prime factorization of 27204 in exponential form is:

27204 = 2² × 3¹ × 2267¹

Step-3: Factors of 27192

List of positive integer factors of 27192 that divides 27192 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 103, 132, 206, 264, 309, 412, 618, 824, 1133, 1236, 2266, 2472, 3399, 4532, 6798, 9064, 13596

Step-4: Factors of 27204

List of positive integer factors of 27204 that divides 27192 without a remainder.

1, 2, 3, 4, 6, 12, 2267, 4534, 6801, 9068, 13602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27192 and 27204. The biggest common factor number is the GCF number.
So the greatest common factor 27192 and 27204 is 12.

Also check out the Least Common Multiple of 27192 and 27204