What is the Greatest Common Factor of 17360 and 17367?

Greatest common factor (GCF) of 17360 and 17367 is 7.

GCF(17360,17367) = 7

We will now calculate the prime factors of 17360 and 17367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17360 and 17367.

How to find the GCF of 17360 and 17367?

We will first find the prime factorization of 17360 and 17367. After we will calculate the factors of 17360 and 17367 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 17367

Prime factors of 17367 are 3, 7, 827. Prime factorization of 17367 in exponential form is:

17367 = 3¹ × 7¹ × 827¹

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 17367

List of positive integer factors of 17367 that divides 17360 without a remainder.

1, 3, 7, 21, 827, 2481, 5789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17360 and 17367. The biggest common factor number is the GCF number.
So the greatest common factor 17360 and 17367 is 7.

Also check out the Least Common Multiple of 17360 and 17367