What is the Greatest Common Factor of 17066 and 17080?

Greatest common factor (GCF) of 17066 and 17080 is 14.

GCF(17066,17080) = 14

We will now calculate the prime factors of 17066 and 17080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17066 and 17080.

How to find the GCF of 17066 and 17080?

We will first find the prime factorization of 17066 and 17080. After we will calculate the factors of 17066 and 17080 and find the biggest common factor number .

Step-1: Prime Factorization of 17066

Prime factors of 17066 are 2, 7, 23, 53. Prime factorization of 17066 in exponential form is:

17066 = 2¹ × 7¹ × 23¹ × 53¹

Step-2: Prime Factorization of 17080

Prime factors of 17080 are 2, 5, 7, 61. Prime factorization of 17080 in exponential form is:

17080 = 2³ × 5¹ × 7¹ × 61¹

Step-3: Factors of 17066

List of positive integer factors of 17066 that divides 17066 without a remainder.

1, 2, 7, 14, 23, 46, 53, 106, 161, 322, 371, 742, 1219, 2438, 8533

Step-4: Factors of 17080

List of positive integer factors of 17080 that divides 17066 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 61, 70, 122, 140, 244, 280, 305, 427, 488, 610, 854, 1220, 1708, 2135, 2440, 3416, 4270, 8540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17066 and 17080. The biggest common factor number is the GCF number.
So the greatest common factor 17066 and 17080 is 14.

Also check out the Least Common Multiple of 17066 and 17080