What is the Greatest Common Factor of 17065 and 17080?

Greatest common factor (GCF) of 17065 and 17080 is 5.

GCF(17065,17080) = 5

We will now calculate the prime factors of 17065 and 17080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17065 and 17080.

How to find the GCF of 17065 and 17080?

We will first find the prime factorization of 17065 and 17080. After we will calculate the factors of 17065 and 17080 and find the biggest common factor number .

Step-1: Prime Factorization of 17065

Prime factors of 17065 are 5, 3413. Prime factorization of 17065 in exponential form is:

17065 = 5¹ × 3413¹

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 17065

List of positive integer factors of 17065 that divides 17065 without a remainder.

1, 5, 3413

Step-4: Factors of 17080

List of positive integer factors of 17080 that divides 17065 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 17065 and 17080. The biggest common factor number is the GCF number.
So the greatest common factor 17065 and 17080 is 5.

Also check out the Least Common Multiple of 17065 and 17080