What is the Greatest Common Factor of 69165 and 69185?

Greatest common factor (GCF) of 69165 and 69185 is 5.

GCF(69165,69185) = 5

We will now calculate the prime factors of 69165 and 69185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69165 and 69185.

How to find the GCF of 69165 and 69185?

We will first find the prime factorization of 69165 and 69185. After we will calculate the factors of 69165 and 69185 and find the biggest common factor number .

Step-1: Prime Factorization of 69165

Prime factors of 69165 are 3, 5, 29, 53. Prime factorization of 69165 in exponential form is:

69165 = 3² × 5¹ × 29¹ × 53¹

Step-2: Prime Factorization of 69185

Prime factors of 69185 are 5, 101, 137. Prime factorization of 69185 in exponential form is:

69185 = 5¹ × 101¹ × 137¹

Step-3: Factors of 69165

List of positive integer factors of 69165 that divides 69165 without a remainder.

1, 3, 5, 9, 15, 29, 45, 53, 87, 145, 159, 261, 265, 435, 477, 795, 1305, 1537, 2385, 4611, 7685, 13833, 23055

Step-4: Factors of 69185

List of positive integer factors of 69185 that divides 69165 without a remainder.

1, 5, 101, 137, 505, 685, 13837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69165 and 69185. The biggest common factor number is the GCF number.
So the greatest common factor 69165 and 69185 is 5.

Also check out the Least Common Multiple of 69165 and 69185