What is the Greatest Common Factor of 27006 and 27022?

Greatest common factor (GCF) of 27006 and 27022 is 2.

GCF(27006,27022) = 2

We will now calculate the prime factors of 27006 and 27022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27006 and 27022.

How to find the GCF of 27006 and 27022?

We will first find the prime factorization of 27006 and 27022. After we will calculate the factors of 27006 and 27022 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 27022

Prime factors of 27022 are 2, 59, 229. Prime factorization of 27022 in exponential form is:

27022 = 2¹ × 59¹ × 229¹

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 27022

List of positive integer factors of 27022 that divides 27006 without a remainder.

1, 2, 59, 118, 229, 458, 13511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27006 and 27022. The biggest common factor number is the GCF number.
So the greatest common factor 27006 and 27022 is 2.

Also check out the Least Common Multiple of 27006 and 27022