What is the Greatest Common Factor of 17360 and 17378?

Greatest common factor (GCF) of 17360 and 17378 is 2.

GCF(17360,17378) = 2

We will now calculate the prime factors of 17360 and 17378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17360 and 17378.

How to find the GCF of 17360 and 17378?

We will first find the prime factorization of 17360 and 17378. After we will calculate the factors of 17360 and 17378 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 17378

Prime factors of 17378 are 2, 8689. Prime factorization of 17378 in exponential form is:

17378 = 2¹ × 8689¹

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 17378

List of positive integer factors of 17378 that divides 17360 without a remainder.

1, 2, 8689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17360 and 17378. The biggest common factor number is the GCF number.
So the greatest common factor 17360 and 17378 is 2.

Also check out the Least Common Multiple of 17360 and 17378