What is the Greatest Common Factor of 27842 and 27856?

Greatest common factor (GCF) of 27842 and 27856 is 2.

GCF(27842,27856) = 2

We will now calculate the prime factors of 27842 and 27856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27842 and 27856.

How to find the GCF of 27842 and 27856?

We will first find the prime factorization of 27842 and 27856. After we will calculate the factors of 27842 and 27856 and find the biggest common factor number .

Step-1: Prime Factorization of 27842

Prime factors of 27842 are 2, 13921. Prime factorization of 27842 in exponential form is:

27842 = 2¹ × 13921¹

Step-2: Prime Factorization of 27856

Prime factors of 27856 are 2, 1741. Prime factorization of 27856 in exponential form is:

27856 = 2⁴ × 1741¹

Step-3: Factors of 27842

List of positive integer factors of 27842 that divides 27842 without a remainder.

1, 2, 13921

Step-4: Factors of 27856

List of positive integer factors of 27856 that divides 27842 without a remainder.

1, 2, 4, 8, 16, 1741, 3482, 6964, 13928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27842 and 27856. The biggest common factor number is the GCF number.
So the greatest common factor 27842 and 27856 is 2.

Also check out the Least Common Multiple of 27842 and 27856