What is the Greatest Common Factor of 17374 and 17387?

Greatest common factor (GCF) of 17374 and 17387 is 1.

GCF(17374,17387) = 1

We will now calculate the prime factors of 17374 and 17387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17374 and 17387.

How to find the GCF of 17374 and 17387?

We will first find the prime factorization of 17374 and 17387. After we will calculate the factors of 17374 and 17387 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 17387

Prime factors of 17387 are 17387. Prime factorization of 17387 in exponential form is:

17387 = 17387¹

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 17387

List of positive integer factors of 17387 that divides 17374 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17374 and 17387. The biggest common factor number is the GCF number.
So the greatest common factor 17374 and 17387 is 1.

Also check out the Least Common Multiple of 17374 and 17387