What is the Greatest Common Factor of 27800 and 27804?

Greatest common factor (GCF) of 27800 and 27804 is 4.

GCF(27800,27804) = 4

We will now calculate the prime factors of 27800 and 27804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27800 and 27804.

How to find the GCF of 27800 and 27804?

We will first find the prime factorization of 27800 and 27804. After we will calculate the factors of 27800 and 27804 and find the biggest common factor number .

Step-1: Prime Factorization of 27800

Prime factors of 27800 are 2, 5, 139. Prime factorization of 27800 in exponential form is:

27800 = 2³ × 5² × 139¹

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 27800

List of positive integer factors of 27800 that divides 27800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 139, 200, 278, 556, 695, 1112, 1390, 2780, 3475, 5560, 6950, 13900

Step-4: Factors of 27804

List of positive integer factors of 27804 that divides 27800 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 27800 and 27804. The biggest common factor number is the GCF number.
So the greatest common factor 27800 and 27804 is 4.

Also check out the Least Common Multiple of 27800 and 27804