What is the Greatest Common Factor of 17074 and 17080?

Greatest common factor (GCF) of 17074 and 17080 is 2.

GCF(17074,17080) = 2

We will now calculate the prime factors of 17074 and 17080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17074 and 17080.

How to find the GCF of 17074 and 17080?

We will first find the prime factorization of 17074 and 17080. After we will calculate the factors of 17074 and 17080 and find the biggest common factor number .

Step-1: Prime Factorization of 17074

Prime factors of 17074 are 2, 8537. Prime factorization of 17074 in exponential form is:

17074 = 2¹ × 8537¹

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 17074

List of positive integer factors of 17074 that divides 17074 without a remainder.

1, 2, 8537

Step-4: Factors of 17080

List of positive integer factors of 17080 that divides 17074 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 17074 and 17080. The biggest common factor number is the GCF number.
So the greatest common factor 17074 and 17080 is 2.

Also check out the Least Common Multiple of 17074 and 17080