What is the Greatest Common Factor of 17332 and 17346?

Greatest common factor (GCF) of 17332 and 17346 is 14.

GCF(17332,17346) = 14

We will now calculate the prime factors of 17332 and 17346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17332 and 17346.

How to find the GCF of 17332 and 17346?

We will first find the prime factorization of 17332 and 17346. After we will calculate the factors of 17332 and 17346 and find the biggest common factor number .

Step-1: Prime Factorization of 17332

Prime factors of 17332 are 2, 7, 619. Prime factorization of 17332 in exponential form is:

17332 = 2² × 7¹ × 619¹

Step-2: Prime Factorization of 17346

Prime factors of 17346 are 2, 3, 7, 59. Prime factorization of 17346 in exponential form is:

17346 = 2¹ × 3¹ × 7² × 59¹

Step-3: Factors of 17332

List of positive integer factors of 17332 that divides 17332 without a remainder.

1, 2, 4, 7, 14, 28, 619, 1238, 2476, 4333, 8666

Step-4: Factors of 17346

List of positive integer factors of 17346 that divides 17332 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 59, 98, 118, 147, 177, 294, 354, 413, 826, 1239, 2478, 2891, 5782, 8673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17332 and 17346. The biggest common factor number is the GCF number.
So the greatest common factor 17332 and 17346 is 14.

Also check out the Least Common Multiple of 17332 and 17346