What is the Greatest Common Factor of 66605 and 66615?

Greatest common factor (GCF) of 66605 and 66615 is 5.

GCF(66605,66615) = 5

We will now calculate the prime factors of 66605 and 66615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66605 and 66615.

How to find the GCF of 66605 and 66615?

We will first find the prime factorization of 66605 and 66615. After we will calculate the factors of 66605 and 66615 and find the biggest common factor number .

Step-1: Prime Factorization of 66605

Prime factors of 66605 are 5, 7, 11, 173. Prime factorization of 66605 in exponential form is:

66605 = 5¹ × 7¹ × 11¹ × 173¹

Step-2: Prime Factorization of 66615

Prime factors of 66615 are 3, 5, 4441. Prime factorization of 66615 in exponential form is:

66615 = 3¹ × 5¹ × 4441¹

Step-3: Factors of 66605

List of positive integer factors of 66605 that divides 66605 without a remainder.

1, 5, 7, 11, 35, 55, 77, 173, 385, 865, 1211, 1903, 6055, 9515, 13321

Step-4: Factors of 66615

List of positive integer factors of 66615 that divides 66605 without a remainder.

1, 3, 5, 15, 4441, 13323, 22205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66605 and 66615. The biggest common factor number is the GCF number.
So the greatest common factor 66605 and 66615 is 5.

Also check out the Least Common Multiple of 66605 and 66615