What is the Greatest Common Factor of 17694 and 17700?

Greatest common factor (GCF) of 17694 and 17700 is 6.

GCF(17694,17700) = 6

We will now calculate the prime factors of 17694 and 17700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17694 and 17700.

How to find the GCF of 17694 and 17700?

We will first find the prime factorization of 17694 and 17700. After we will calculate the factors of 17694 and 17700 and find the biggest common factor number .

Step-1: Prime Factorization of 17694

Prime factors of 17694 are 2, 3, 983. Prime factorization of 17694 in exponential form is:

17694 = 2¹ × 3² × 983¹

Step-2: Prime Factorization of 17700

Prime factors of 17700 are 2, 3, 5, 59. Prime factorization of 17700 in exponential form is:

17700 = 2² × 3¹ × 5² × 59¹

Step-3: Factors of 17694

List of positive integer factors of 17694 that divides 17694 without a remainder.

1, 2, 3, 6, 9, 18, 983, 1966, 2949, 5898, 8847

Step-4: Factors of 17700

List of positive integer factors of 17700 that divides 17694 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 59, 60, 75, 100, 118, 150, 177, 236, 295, 300, 354, 590, 708, 885, 1180, 1475, 1770, 2950, 3540, 4425, 5900, 8850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17694 and 17700. The biggest common factor number is the GCF number.
So the greatest common factor 17694 and 17700 is 6.

Also check out the Least Common Multiple of 17694 and 17700