What is the Greatest Common Factor of 3065 and 3080?

Greatest common factor (GCF) of 3065 and 3080 is 5.

GCF(3065,3080) = 5

We will now calculate the prime factors of 3065 and 3080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3065 and 3080.

How to find the GCF of 3065 and 3080?

We will first find the prime factorization of 3065 and 3080. After we will calculate the factors of 3065 and 3080 and find the biggest common factor number .

Step-1: Prime Factorization of 3065

Prime factors of 3065 are 5, 613. Prime factorization of 3065 in exponential form is:

3065 = 5¹ × 613¹

Step-2: Prime Factorization of 3080

Prime factors of 3080 are 2, 5, 7, 11. Prime factorization of 3080 in exponential form is:

3080 = 2³ × 5¹ × 7¹ × 11¹

Step-3: Factors of 3065

List of positive integer factors of 3065 that divides 3065 without a remainder.

1, 5, 613

Step-4: Factors of 3080

List of positive integer factors of 3080 that divides 3065 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3065 and 3080. The biggest common factor number is the GCF number.
So the greatest common factor 3065 and 3080 is 5.

Also check out the Least Common Multiple of 3065 and 3080