What is the Greatest Common Factor of 3054 and 3074?

Greatest common factor (GCF) of 3054 and 3074 is 2.

GCF(3054,3074) = 2

We will now calculate the prime factors of 3054 and 3074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3054 and 3074.

How to find the GCF of 3054 and 3074?

We will first find the prime factorization of 3054 and 3074. After we will calculate the factors of 3054 and 3074 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 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 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 3074

List of positive integer factors of 3074 that divides 3054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3054 and 3074. The biggest common factor number is the GCF number.
So the greatest common factor 3054 and 3074 is 2.

Also check out the Least Common Multiple of 3054 and 3074