What is the Greatest Common Factor of 3036 and 3054?

Greatest common factor (GCF) of 3036 and 3054 is 6.

GCF(3036,3054) = 6

We will now calculate the prime factors of 3036 and 3054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3036 and 3054.

How to find the GCF of 3036 and 3054?

We will first find the prime factorization of 3036 and 3054. After we will calculate the factors of 3036 and 3054 and find the biggest common factor number .

Step-1: Prime Factorization of 3036

Prime factors of 3036 are 2, 3, 11, 23. Prime factorization of 3036 in exponential form is:

3036 = 2² × 3¹ × 11¹ × 23¹

Step-2: Prime Factorization of 3054

Prime factors of 3054 are 2, 3, 509. Prime factorization of 3054 in exponential form is:

3054 = 2¹ × 3¹ × 509¹

Step-3: Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518

Step-4: Factors of 3054

List of positive integer factors of 3054 that divides 3036 without a remainder.

1, 2, 3, 6, 509, 1018, 1527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3036 and 3054. The biggest common factor number is the GCF number.
So the greatest common factor 3036 and 3054 is 6.

Also check out the Least Common Multiple of 3036 and 3054