What is the Greatest Common Factor of 17270 and 17278?

Greatest common factor (GCF) of 17270 and 17278 is 2.

GCF(17270,17278) = 2

We will now calculate the prime factors of 17270 and 17278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17270 and 17278.

How to find the GCF of 17270 and 17278?

We will first find the prime factorization of 17270 and 17278. After we will calculate the factors of 17270 and 17278 and find the biggest common factor number .

Step-1: Prime Factorization of 17270

Prime factors of 17270 are 2, 5, 11, 157. Prime factorization of 17270 in exponential form is:

17270 = 2¹ × 5¹ × 11¹ × 157¹

Step-2: 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-3: Factors of 17270

List of positive integer factors of 17270 that divides 17270 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 157, 314, 785, 1570, 1727, 3454, 8635

Step-4: Factors of 17278

List of positive integer factors of 17278 that divides 17270 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17270 and 17278. The biggest common factor number is the GCF number.
So the greatest common factor 17270 and 17278 is 2.

Also check out the Least Common Multiple of 17270 and 17278