What is the Greatest Common Factor of 3069 and 3080?

Greatest common factor (GCF) of 3069 and 3080 is 11.

GCF(3069,3080) = 11

We will now calculate the prime factors of 3069 and 3080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3069 and 3080.

How to find the GCF of 3069 and 3080?

We will first find the prime factorization of 3069 and 3080. After we will calculate the factors of 3069 and 3080 and find the biggest common factor number .

Step-1: Prime Factorization of 3069

Prime factors of 3069 are 3, 11, 31. Prime factorization of 3069 in exponential form is:

3069 = 3² × 11¹ × 31¹

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 3069

List of positive integer factors of 3069 that divides 3069 without a remainder.

1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023

Step-4: Factors of 3080

List of positive integer factors of 3080 that divides 3069 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 3069 and 3080. The biggest common factor number is the GCF number.
So the greatest common factor 3069 and 3080 is 11.

Also check out the Least Common Multiple of 3069 and 3080