What is the Greatest Common Factor of 17374 and 17382?

Greatest common factor (GCF) of 17374 and 17382 is 2.

GCF(17374,17382) = 2

We will now calculate the prime factors of 17374 and 17382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17374 and 17382.

How to find the GCF of 17374 and 17382?

We will first find the prime factorization of 17374 and 17382. After we will calculate the factors of 17374 and 17382 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 17382

Prime factors of 17382 are 2, 3, 2897. Prime factorization of 17382 in exponential form is:

17382 = 2¹ × 3¹ × 2897¹

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 17382

List of positive integer factors of 17382 that divides 17374 without a remainder.

1, 2, 3, 6, 2897, 5794, 8691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17374 and 17382. The biggest common factor number is the GCF number.
So the greatest common factor 17374 and 17382 is 2.

Also check out the Least Common Multiple of 17374 and 17382