What is the Greatest Common Factor of 27006 and 27021?

Greatest common factor (GCF) of 27006 and 27021 is 3.

GCF(27006,27021) = 3

We will now calculate the prime factors of 27006 and 27021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27006 and 27021.

How to find the GCF of 27006 and 27021?

We will first find the prime factorization of 27006 and 27021. After we will calculate the factors of 27006 and 27021 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 27021

Prime factors of 27021 are 3, 9007. Prime factorization of 27021 in exponential form is:

27021 = 3¹ × 9007¹

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 27021

List of positive integer factors of 27021 that divides 27006 without a remainder.

1, 3, 9007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27006 and 27021. The biggest common factor number is the GCF number.
So the greatest common factor 27006 and 27021 is 3.

Also check out the Least Common Multiple of 27006 and 27021