What is the Greatest Common Factor of 3054 and 3066?

Greatest common factor (GCF) of 3054 and 3066 is 6.

GCF(3054,3066) = 6

We will now calculate the prime factors of 3054 and 3066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3054 and 3066.

How to find the GCF of 3054 and 3066?

We will first find the prime factorization of 3054 and 3066. After we will calculate the factors of 3054 and 3066 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 3066

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

3066 = 2¹ × 3¹ × 7¹ × 73¹

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 3066

List of positive integer factors of 3066 that divides 3054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3054 and 3066. The biggest common factor number is the GCF number.
So the greatest common factor 3054 and 3066 is 6.

Also check out the Least Common Multiple of 3054 and 3066