What is the Greatest Common Factor of 3066 and 3074?

Greatest common factor (GCF) of 3066 and 3074 is 2.

GCF(3066,3074) = 2

We will now calculate the prime factors of 3066 and 3074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3066 and 3074.

How to find the GCF of 3066 and 3074?

We will first find the prime factorization of 3066 and 3074. After we will calculate the factors of 3066 and 3074 and find the biggest common factor number .

Step-1: Prime Factorization of 3066

Prime factors of 3066 are 2, 3, 7, 73. Prime factorization of 3066 in exponential form is:

3066 = 2¹ × 3¹ × 7¹ × 73¹

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 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533

Step-4: Factors of 3074

List of positive integer factors of 3074 that divides 3066 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3066 and 3074. The biggest common factor number is the GCF number.
So the greatest common factor 3066 and 3074 is 2.

Also check out the Least Common Multiple of 3066 and 3074