What is the Greatest Common Factor of 27860 and 27871?

Greatest common factor (GCF) of 27860 and 27871 is 1.

GCF(27860,27871) = 1

We will now calculate the prime factors of 27860 and 27871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27860 and 27871.

How to find the GCF of 27860 and 27871?

We will first find the prime factorization of 27860 and 27871. After we will calculate the factors of 27860 and 27871 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 27871

Prime factors of 27871 are 47, 593. Prime factorization of 27871 in exponential form is:

27871 = 47¹ × 593¹

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 27871

List of positive integer factors of 27871 that divides 27860 without a remainder.

1, 47, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27860 and 27871. The biggest common factor number is the GCF number.
So the greatest common factor 27860 and 27871 is 1.

Also check out the Least Common Multiple of 27860 and 27871