What is the Greatest Common Factor of 17278 and 17290?

Greatest common factor (GCF) of 17278 and 17290 is 2.

GCF(17278,17290) = 2

We will now calculate the prime factors of 17278 and 17290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17278 and 17290.

How to find the GCF of 17278 and 17290?

We will first find the prime factorization of 17278 and 17290. After we will calculate the factors of 17278 and 17290 and find the biggest common factor number .

Step-1: Prime Factorization of 17278

Prime factors of 17278 are 2, 53, 163. Prime factorization of 17278 in exponential form is:

17278 = 2¹ × 53¹ × 163¹

Step-2: Prime Factorization of 17290

Prime factors of 17290 are 2, 5, 7, 13, 19. Prime factorization of 17290 in exponential form is:

17290 = 2¹ × 5¹ × 7¹ × 13¹ × 19¹

Step-3: Factors of 17278

List of positive integer factors of 17278 that divides 17278 without a remainder.

1, 2, 53, 106, 163, 326, 8639

Step-4: Factors of 17290

List of positive integer factors of 17290 that divides 17278 without a remainder.

1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17278 and 17290. The biggest common factor number is the GCF number.
So the greatest common factor 17278 and 17290 is 2.

Also check out the Least Common Multiple of 17278 and 17290