What is the Greatest Common Factor of 17324 and 17334?

Greatest common factor (GCF) of 17324 and 17334 is 2.

GCF(17324,17334) = 2

We will now calculate the prime factors of 17324 and 17334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17324 and 17334.

How to find the GCF of 17324 and 17334?

We will first find the prime factorization of 17324 and 17334. After we will calculate the factors of 17324 and 17334 and find the biggest common factor number .

Step-1: Prime Factorization of 17324

Prime factors of 17324 are 2, 61, 71. Prime factorization of 17324 in exponential form is:

17324 = 2² × 61¹ × 71¹

Step-2: Prime Factorization of 17334

Prime factors of 17334 are 2, 3, 107. Prime factorization of 17334 in exponential form is:

17334 = 2¹ × 3⁴ × 107¹

Step-3: Factors of 17324

List of positive integer factors of 17324 that divides 17324 without a remainder.

1, 2, 4, 61, 71, 122, 142, 244, 284, 4331, 8662

Step-4: Factors of 17334

List of positive integer factors of 17334 that divides 17324 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 107, 162, 214, 321, 642, 963, 1926, 2889, 5778, 8667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17324 and 17334. The biggest common factor number is the GCF number.
So the greatest common factor 17324 and 17334 is 2.

Also check out the Least Common Multiple of 17324 and 17334