What is the Greatest Common Factor of 27870 and 27879?

Greatest common factor (GCF) of 27870 and 27879 is 3.

GCF(27870,27879) = 3

We will now calculate the prime factors of 27870 and 27879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27870 and 27879.

How to find the GCF of 27870 and 27879?

We will first find the prime factorization of 27870 and 27879. After we will calculate the factors of 27870 and 27879 and find the biggest common factor number .

Step-1: Prime Factorization of 27870

Prime factors of 27870 are 2, 3, 5, 929. Prime factorization of 27870 in exponential form is:

27870 = 2¹ × 3¹ × 5¹ × 929¹

Step-2: Prime Factorization of 27879

Prime factors of 27879 are 3, 9293. Prime factorization of 27879 in exponential form is:

27879 = 3¹ × 9293¹

Step-3: Factors of 27870

List of positive integer factors of 27870 that divides 27870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 929, 1858, 2787, 4645, 5574, 9290, 13935

Step-4: Factors of 27879

List of positive integer factors of 27879 that divides 27870 without a remainder.

1, 3, 9293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27870 and 27879. The biggest common factor number is the GCF number.
So the greatest common factor 27870 and 27879 is 3.

Also check out the Least Common Multiple of 27870 and 27879