What is the Greatest Common Factor of 3090 and 3094?

Greatest common factor (GCF) of 3090 and 3094 is 2.

GCF(3090,3094) = 2

We will now calculate the prime factors of 3090 and 3094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3090 and 3094.

How to find the GCF of 3090 and 3094?

We will first find the prime factorization of 3090 and 3094. After we will calculate the factors of 3090 and 3094 and find the biggest common factor number .

Step-1: Prime Factorization of 3090

Prime factors of 3090 are 2, 3, 5, 103. Prime factorization of 3090 in exponential form is:

3090 = 2¹ × 3¹ × 5¹ × 103¹

Step-2: Prime Factorization of 3094

Prime factors of 3094 are 2, 7, 13, 17. Prime factorization of 3094 in exponential form is:

3094 = 2¹ × 7¹ × 13¹ × 17¹

Step-3: Factors of 3090

List of positive integer factors of 3090 that divides 3090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545

Step-4: Factors of 3094

List of positive integer factors of 3094 that divides 3090 without a remainder.

1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3090 and 3094. The biggest common factor number is the GCF number.
So the greatest common factor 3090 and 3094 is 2.

Also check out the Least Common Multiple of 3090 and 3094