What is the Greatest Common Factor of 27854 and 27860?

Greatest common factor (GCF) of 27854 and 27860 is 2.

GCF(27854,27860) = 2

We will now calculate the prime factors of 27854 and 27860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27854 and 27860.

How to find the GCF of 27854 and 27860?

We will first find the prime factorization of 27854 and 27860. After we will calculate the factors of 27854 and 27860 and find the biggest common factor number .

Step-1: Prime Factorization of 27854

Prime factors of 27854 are 2, 19, 733. Prime factorization of 27854 in exponential form is:

27854 = 2¹ × 19¹ × 733¹

Step-2: 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-3: Factors of 27854

List of positive integer factors of 27854 that divides 27854 without a remainder.

1, 2, 19, 38, 733, 1466, 13927

Step-4: Factors of 27860

List of positive integer factors of 27860 that divides 27854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27854 and 27860. The biggest common factor number is the GCF number.
So the greatest common factor 27854 and 27860 is 2.

Also check out the Least Common Multiple of 27854 and 27860