What is the Greatest Common Factor of 17360 and 17374?

Greatest common factor (GCF) of 17360 and 17374 is 14.

GCF(17360,17374) = 14

We will now calculate the prime factors of 17360 and 17374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17360 and 17374.

How to find the GCF of 17360 and 17374?

We will first find the prime factorization of 17360 and 17374. After we will calculate the factors of 17360 and 17374 and find the biggest common factor number .

Step-1: Prime Factorization of 17360

Prime factors of 17360 are 2, 5, 7, 31. Prime factorization of 17360 in exponential form is:

17360 = 2⁴ × 5¹ × 7¹ × 31¹

Step-2: 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-3: Factors of 17360

List of positive integer factors of 17360 that divides 17360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 31, 35, 40, 56, 62, 70, 80, 112, 124, 140, 155, 217, 248, 280, 310, 434, 496, 560, 620, 868, 1085, 1240, 1736, 2170, 2480, 3472, 4340, 8680

Step-4: Factors of 17374

List of positive integer factors of 17374 that divides 17360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17360 and 17374. The biggest common factor number is the GCF number.
So the greatest common factor 17360 and 17374 is 14.

Also check out the Least Common Multiple of 17360 and 17374