What is the Greatest Common Factor of 27036 and 27048?

Greatest common factor (GCF) of 27036 and 27048 is 12.

GCF(27036,27048) = 12

We will now calculate the prime factors of 27036 and 27048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27036 and 27048.

How to find the GCF of 27036 and 27048?

We will first find the prime factorization of 27036 and 27048. After we will calculate the factors of 27036 and 27048 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 27048

Prime factors of 27048 are 2, 3, 7, 23. Prime factorization of 27048 in exponential form is:

27048 = 2³ × 3¹ × 7² × 23¹

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 27048

List of positive integer factors of 27048 that divides 27036 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 49, 56, 69, 84, 92, 98, 138, 147, 161, 168, 184, 196, 276, 294, 322, 392, 483, 552, 588, 644, 966, 1127, 1176, 1288, 1932, 2254, 3381, 3864, 4508, 6762, 9016, 13524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27036 and 27048. The biggest common factor number is the GCF number.
So the greatest common factor 27036 and 27048 is 12.

Also check out the Least Common Multiple of 27036 and 27048