What is the Greatest Common Factor of 3060 and 3074?

Greatest common factor (GCF) of 3060 and 3074 is 2.

GCF(3060,3074) = 2

We will now calculate the prime factors of 3060 and 3074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3060 and 3074.

How to find the GCF of 3060 and 3074?

We will first find the prime factorization of 3060 and 3074. After we will calculate the factors of 3060 and 3074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3074

Prime factors of 3074 are 2, 29, 53. Prime factorization of 3074 in exponential form is:

3074 = 2¹ × 29¹ × 53¹

Step-3: Factors of 3060

List of positive integer factors of 3060 that divides 3060 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

Step-4: Factors of 3074

List of positive integer factors of 3074 that divides 3060 without a remainder.

1, 2, 29, 53, 58, 106, 1537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3060 and 3074. The biggest common factor number is the GCF number.
So the greatest common factor 3060 and 3074 is 2.

Also check out the Least Common Multiple of 3060 and 3074