What is the Greatest Common Factor of 17705 and 17715?

Greatest common factor (GCF) of 17705 and 17715 is 5.

GCF(17705,17715) = 5

We will now calculate the prime factors of 17705 and 17715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17705 and 17715.

How to find the GCF of 17705 and 17715?

We will first find the prime factorization of 17705 and 17715. After we will calculate the factors of 17705 and 17715 and find the biggest common factor number .

Step-1: Prime Factorization of 17705

Prime factors of 17705 are 5, 3541. Prime factorization of 17705 in exponential form is:

17705 = 5¹ × 3541¹

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 17705

List of positive integer factors of 17705 that divides 17705 without a remainder.

1, 5, 3541

Step-4: Factors of 17715

List of positive integer factors of 17715 that divides 17705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17705 and 17715. The biggest common factor number is the GCF number.
So the greatest common factor 17705 and 17715 is 5.

Also check out the Least Common Multiple of 17705 and 17715