What is the Greatest Common Factor of 27804 and 27808?

Greatest common factor (GCF) of 27804 and 27808 is 4.

GCF(27804,27808) = 4

We will now calculate the prime factors of 27804 and 27808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27804 and 27808.

How to find the GCF of 27804 and 27808?

We will first find the prime factorization of 27804 and 27808. After we will calculate the factors of 27804 and 27808 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27808

Prime factors of 27808 are 2, 11, 79. Prime factorization of 27808 in exponential form is:

27808 = 2⁵ × 11¹ × 79¹

Step-3: Factors of 27804

List of positive integer factors of 27804 that divides 27804 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

Step-4: Factors of 27808

List of positive integer factors of 27808 that divides 27804 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 79, 88, 158, 176, 316, 352, 632, 869, 1264, 1738, 2528, 3476, 6952, 13904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27804 and 27808. The biggest common factor number is the GCF number.
So the greatest common factor 27804 and 27808 is 4.

Also check out the Least Common Multiple of 27804 and 27808