What is the Greatest Common Factor of 2014 and 2027?

Greatest common factor (GCF) of 2014 and 2027 is 1.

GCF(2014,2027) = 1

We will now calculate the prime factors of 2014 and 2027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2014 and 2027.

How to find the GCF of 2014 and 2027?

We will first find the prime factorization of 2014 and 2027. After we will calculate the factors of 2014 and 2027 and find the biggest common factor number .

Step-1: Prime Factorization of 2014

Prime factors of 2014 are 2, 19, 53. Prime factorization of 2014 in exponential form is:

2014 = 2¹ × 19¹ × 53¹

Step-2: Prime Factorization of 2027

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 2027¹

Step-3: Factors of 2014

List of positive integer factors of 2014 that divides 2014 without a remainder.

1, 2, 19, 38, 53, 106, 1007

Step-4: Factors of 2027

List of positive integer factors of 2027 that divides 2014 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2014 and 2027. The biggest common factor number is the GCF number.
So the greatest common factor 2014 and 2027 is 1.

Also check out the Least Common Multiple of 2014 and 2027