What is the Greatest Common Factor of 27006 and 27014?

Greatest common factor (GCF) of 27006 and 27014 is 2.

GCF(27006,27014) = 2

We will now calculate the prime factors of 27006 and 27014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27006 and 27014.

How to find the GCF of 27006 and 27014?

We will first find the prime factorization of 27006 and 27014. After we will calculate the factors of 27006 and 27014 and find the biggest common factor number .

Step-1: Prime Factorization of 27006

Prime factors of 27006 are 2, 3, 7, 643. Prime factorization of 27006 in exponential form is:

27006 = 2¹ × 3¹ × 7¹ × 643¹

Step-2: Prime Factorization of 27014

Prime factors of 27014 are 2, 13, 1039. Prime factorization of 27014 in exponential form is:

27014 = 2¹ × 13¹ × 1039¹

Step-3: Factors of 27006

List of positive integer factors of 27006 that divides 27006 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 643, 1286, 1929, 3858, 4501, 9002, 13503

Step-4: Factors of 27014

List of positive integer factors of 27014 that divides 27006 without a remainder.

1, 2, 13, 26, 1039, 2078, 13507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27006 and 27014. The biggest common factor number is the GCF number.
So the greatest common factor 27006 and 27014 is 2.

Also check out the Least Common Multiple of 27006 and 27014