What is the Greatest Common Factor of 17360 and 17372?

Greatest common factor (GCF) of 17360 and 17372 is 4.

GCF(17360,17372) = 4

We will now calculate the prime factors of 17360 and 17372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17360 and 17372.

How to find the GCF of 17360 and 17372?

We will first find the prime factorization of 17360 and 17372. After we will calculate the factors of 17360 and 17372 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 17372

Prime factors of 17372 are 2, 43, 101. Prime factorization of 17372 in exponential form is:

17372 = 2² × 43¹ × 101¹

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 17372

List of positive integer factors of 17372 that divides 17360 without a remainder.

1, 2, 4, 43, 86, 101, 172, 202, 404, 4343, 8686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17360 and 17372. The biggest common factor number is the GCF number.
So the greatest common factor 17360 and 17372 is 4.

Also check out the Least Common Multiple of 17360 and 17372