What is the Greatest Common Factor of 27906 and 27914?

Greatest common factor (GCF) of 27906 and 27914 is 2.

GCF(27906,27914) = 2

We will now calculate the prime factors of 27906 and 27914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27906 and 27914.

How to find the GCF of 27906 and 27914?

We will first find the prime factorization of 27906 and 27914. After we will calculate the factors of 27906 and 27914 and find the biggest common factor number .

Step-1: Prime Factorization of 27906

Prime factors of 27906 are 2, 3, 4651. Prime factorization of 27906 in exponential form is:

27906 = 2¹ × 3¹ × 4651¹

Step-2: Prime Factorization of 27914

Prime factors of 27914 are 2, 17, 821. Prime factorization of 27914 in exponential form is:

27914 = 2¹ × 17¹ × 821¹

Step-3: Factors of 27906

List of positive integer factors of 27906 that divides 27906 without a remainder.

1, 2, 3, 6, 4651, 9302, 13953

Step-4: Factors of 27914

List of positive integer factors of 27914 that divides 27906 without a remainder.

1, 2, 17, 34, 821, 1642, 13957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27906 and 27914. The biggest common factor number is the GCF number.
So the greatest common factor 27906 and 27914 is 2.

Also check out the Least Common Multiple of 27906 and 27914