What is the Greatest Common Factor of 27036 and 27042?

Greatest common factor (GCF) of 27036 and 27042 is 6.

GCF(27036,27042) = 6

We will now calculate the prime factors of 27036 and 27042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27036 and 27042.

How to find the GCF of 27036 and 27042?

We will first find the prime factorization of 27036 and 27042. After we will calculate the factors of 27036 and 27042 and find the biggest common factor number .

Step-1: Prime Factorization of 27036

Prime factors of 27036 are 2, 3, 751. Prime factorization of 27036 in exponential form is:

27036 = 2² × 3² × 751¹

Step-2: Prime Factorization of 27042

Prime factors of 27042 are 2, 3, 4507. Prime factorization of 27042 in exponential form is:

27042 = 2¹ × 3¹ × 4507¹

Step-3: Factors of 27036

List of positive integer factors of 27036 that divides 27036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 751, 1502, 2253, 3004, 4506, 6759, 9012, 13518

Step-4: Factors of 27042

List of positive integer factors of 27042 that divides 27036 without a remainder.

1, 2, 3, 6, 4507, 9014, 13521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27036 and 27042. The biggest common factor number is the GCF number.
So the greatest common factor 27036 and 27042 is 6.

Also check out the Least Common Multiple of 27036 and 27042