What is the Greatest Common Factor of 17374 and 17391?

Greatest common factor (GCF) of 17374 and 17391 is 17.

GCF(17374,17391) = 17

We will now calculate the prime factors of 17374 and 17391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17374 and 17391.

How to find the GCF of 17374 and 17391?

We will first find the prime factorization of 17374 and 17391. After we will calculate the factors of 17374 and 17391 and find the biggest common factor number .

Step-1: Prime Factorization of 17374

Prime factors of 17374 are 2, 7, 17, 73. Prime factorization of 17374 in exponential form is:

17374 = 2¹ × 7¹ × 17¹ × 73¹

Step-2: Prime Factorization of 17391

Prime factors of 17391 are 3, 11, 17, 31. Prime factorization of 17391 in exponential form is:

17391 = 3¹ × 11¹ × 17¹ × 31¹

Step-3: Factors of 17374

List of positive integer factors of 17374 that divides 17374 without a remainder.

1, 2, 7, 14, 17, 34, 73, 119, 146, 238, 511, 1022, 1241, 2482, 8687

Step-4: Factors of 17391

List of positive integer factors of 17391 that divides 17374 without a remainder.

1, 3, 11, 17, 31, 33, 51, 93, 187, 341, 527, 561, 1023, 1581, 5797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17374 and 17391. The biggest common factor number is the GCF number.
So the greatest common factor 17374 and 17391 is 17.

Also check out the Least Common Multiple of 17374 and 17391