What is the Greatest Common Factor of 3060 and 3067?

Greatest common factor (GCF) of 3060 and 3067 is 1.

GCF(3060,3067) = 1

We will now calculate the prime factors of 3060 and 3067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3060 and 3067.

How to find the GCF of 3060 and 3067?

We will first find the prime factorization of 3060 and 3067. After we will calculate the factors of 3060 and 3067 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 3067

Prime factors of 3067 are 3067. Prime factorization of 3067 in exponential form is:

3067 = 3067¹

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 3067

List of positive integer factors of 3067 that divides 3060 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3060 and 3067. The biggest common factor number is the GCF number.
So the greatest common factor 3060 and 3067 is 1.

Also check out the Least Common Multiple of 3060 and 3067