What is the Greatest Common Factor of 3054 and 3060?

Greatest common factor (GCF) of 3054 and 3060 is 6.

GCF(3054,3060) = 6

We will now calculate the prime factors of 3054 and 3060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3054 and 3060.

How to find the GCF of 3054 and 3060?

We will first find the prime factorization of 3054 and 3060. After we will calculate the factors of 3054 and 3060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3060

Prime factors of 3060 are 2, 3, 5, 17. Prime factorization of 3060 in exponential form is:

3060 = 2² × 3² × 5¹ × 17¹

Step-3: Factors of 3054

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

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

Step-4: Factors of 3060

List of positive integer factors of 3060 that divides 3054 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3054 and 3060. The biggest common factor number is the GCF number.
So the greatest common factor 3054 and 3060 is 6.

Also check out the Least Common Multiple of 3054 and 3060