What is the Greatest Common Factor of 27792 and 27804?

Greatest common factor (GCF) of 27792 and 27804 is 12.

GCF(27792,27804) = 12

We will now calculate the prime factors of 27792 and 27804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27792 and 27804.

How to find the GCF of 27792 and 27804?

We will first find the prime factorization of 27792 and 27804. After we will calculate the factors of 27792 and 27804 and find the biggest common factor number .

Step-1: Prime Factorization of 27792

Prime factors of 27792 are 2, 3, 193. Prime factorization of 27792 in exponential form is:

27792 = 2⁴ × 3² × 193¹

Step-2: Prime Factorization of 27804

Prime factors of 27804 are 2, 3, 7, 331. Prime factorization of 27804 in exponential form is:

27804 = 2² × 3¹ × 7¹ × 331¹

Step-3: Factors of 27792

List of positive integer factors of 27792 that divides 27792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 193, 386, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 6948, 9264, 13896

Step-4: Factors of 27804

List of positive integer factors of 27804 that divides 27792 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 331, 662, 993, 1324, 1986, 2317, 3972, 4634, 6951, 9268, 13902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27792 and 27804. The biggest common factor number is the GCF number.
So the greatest common factor 27792 and 27804 is 12.

Also check out the Least Common Multiple of 27792 and 27804