What is the Greatest Common Factor of 27800 and 27817?

Greatest common factor (GCF) of 27800 and 27817 is 1.

GCF(27800,27817) = 1

We will now calculate the prime factors of 27800 and 27817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27800 and 27817.

How to find the GCF of 27800 and 27817?

We will first find the prime factorization of 27800 and 27817. After we will calculate the factors of 27800 and 27817 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 27817

Prime factors of 27817 are 27817. Prime factorization of 27817 in exponential form is:

27817 = 27817¹

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 27817

List of positive integer factors of 27817 that divides 27800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27800 and 27817. The biggest common factor number is the GCF number.
So the greatest common factor 27800 and 27817 is 1.

Also check out the Least Common Multiple of 27800 and 27817