What is the Greatest Common Factor of 27860 and 27875?

Greatest common factor (GCF) of 27860 and 27875 is 5.

GCF(27860,27875) = 5

We will now calculate the prime factors of 27860 and 27875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27860 and 27875.

How to find the GCF of 27860 and 27875?

We will first find the prime factorization of 27860 and 27875. After we will calculate the factors of 27860 and 27875 and find the biggest common factor number .

Step-1: Prime Factorization of 27860

Prime factors of 27860 are 2, 5, 7, 199. Prime factorization of 27860 in exponential form is:

27860 = 2² × 5¹ × 7¹ × 199¹

Step-2: Prime Factorization of 27875

Prime factors of 27875 are 5, 223. Prime factorization of 27875 in exponential form is:

27875 = 5³ × 223¹

Step-3: Factors of 27860

List of positive integer factors of 27860 that divides 27860 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 199, 398, 796, 995, 1393, 1990, 2786, 3980, 5572, 6965, 13930

Step-4: Factors of 27875

List of positive integer factors of 27875 that divides 27860 without a remainder.

1, 5, 25, 125, 223, 1115, 5575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27860 and 27875. The biggest common factor number is the GCF number.
So the greatest common factor 27860 and 27875 is 5.

Also check out the Least Common Multiple of 27860 and 27875