What is the Greatest Common Factor of 3090 and 3095?

Greatest common factor (GCF) of 3090 and 3095 is 5.

GCF(3090,3095) = 5

We will now calculate the prime factors of 3090 and 3095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3090 and 3095.

How to find the GCF of 3090 and 3095?

We will first find the prime factorization of 3090 and 3095. After we will calculate the factors of 3090 and 3095 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 3095

Prime factors of 3095 are 5, 619. Prime factorization of 3095 in exponential form is:

3095 = 5¹ × 619¹

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 3095

List of positive integer factors of 3095 that divides 3090 without a remainder.

1, 5, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3090 and 3095. The biggest common factor number is the GCF number.
So the greatest common factor 3090 and 3095 is 5.

Also check out the Least Common Multiple of 3090 and 3095