What is the Greatest Common Factor of 3066 and 3080?

Greatest common factor (GCF) of 3066 and 3080 is 14.

GCF(3066,3080) = 14

We will now calculate the prime factors of 3066 and 3080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3066 and 3080.

How to find the GCF of 3066 and 3080?

We will first find the prime factorization of 3066 and 3080. After we will calculate the factors of 3066 and 3080 and find the biggest common factor number .

Step-1: Prime Factorization of 3066

Prime factors of 3066 are 2, 3, 7, 73. Prime factorization of 3066 in exponential form is:

3066 = 2¹ × 3¹ × 7¹ × 73¹

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 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533

Step-4: Factors of 3080

List of positive integer factors of 3080 that divides 3066 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 3066 and 3080. The biggest common factor number is the GCF number.
So the greatest common factor 3066 and 3080 is 14.

Also check out the Least Common Multiple of 3066 and 3080