What is the Greatest Common Factor of 17690 and 17700?

Greatest common factor (GCF) of 17690 and 17700 is 10.

GCF(17690,17700) = 10

We will now calculate the prime factors of 17690 and 17700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17690 and 17700.

How to find the GCF of 17690 and 17700?

We will first find the prime factorization of 17690 and 17700. After we will calculate the factors of 17690 and 17700 and find the biggest common factor number .

Step-1: Prime Factorization of 17690

Prime factors of 17690 are 2, 5, 29, 61. Prime factorization of 17690 in exponential form is:

17690 = 2¹ × 5¹ × 29¹ × 61¹

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 17690

List of positive integer factors of 17690 that divides 17690 without a remainder.

1, 2, 5, 10, 29, 58, 61, 122, 145, 290, 305, 610, 1769, 3538, 8845

Step-4: Factors of 17700

List of positive integer factors of 17700 that divides 17690 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 17690 and 17700. The biggest common factor number is the GCF number.
So the greatest common factor 17690 and 17700 is 10.

Also check out the Least Common Multiple of 17690 and 17700