What is the Greatest Common Factor of 17374 and 17381?

Greatest common factor (GCF) of 17374 and 17381 is 7.

GCF(17374,17381) = 7

We will now calculate the prime factors of 17374 and 17381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17374 and 17381.

How to find the GCF of 17374 and 17381?

We will first find the prime factorization of 17374 and 17381. After we will calculate the factors of 17374 and 17381 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 17381

Prime factors of 17381 are 7, 13, 191. Prime factorization of 17381 in exponential form is:

17381 = 7¹ × 13¹ × 191¹

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 17381

List of positive integer factors of 17381 that divides 17374 without a remainder.

1, 7, 13, 91, 191, 1337, 2483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17374 and 17381. The biggest common factor number is the GCF number.
So the greatest common factor 17374 and 17381 is 7.

Also check out the Least Common Multiple of 17374 and 17381