What is the Greatest Common Factor of 17700 and 17715?

Greatest common factor (GCF) of 17700 and 17715 is 15.

GCF(17700,17715) = 15

We will now calculate the prime factors of 17700 and 17715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17700 and 17715.

How to find the GCF of 17700 and 17715?

We will first find the prime factorization of 17700 and 17715. After we will calculate the factors of 17700 and 17715 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17715

Prime factors of 17715 are 3, 5, 1181. Prime factorization of 17715 in exponential form is:

17715 = 3¹ × 5¹ × 1181¹

Step-3: Factors of 17700

List of positive integer factors of 17700 that divides 17700 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

Step-4: Factors of 17715

List of positive integer factors of 17715 that divides 17700 without a remainder.

1, 3, 5, 15, 1181, 3543, 5905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17700 and 17715. The biggest common factor number is the GCF number.
So the greatest common factor 17700 and 17715 is 15.

Also check out the Least Common Multiple of 17700 and 17715