What is the Greatest Common Factor of 69145 and 69165?

Greatest common factor (GCF) of 69145 and 69165 is 5.

GCF(69145,69165) = 5

We will now calculate the prime factors of 69145 and 69165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69145 and 69165.

How to find the GCF of 69145 and 69165?

We will first find the prime factorization of 69145 and 69165. After we will calculate the factors of 69145 and 69165 and find the biggest common factor number .

Step-1: Prime Factorization of 69145

Prime factors of 69145 are 5, 13829. Prime factorization of 69145 in exponential form is:

69145 = 5¹ × 13829¹

Step-2: 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-3: Factors of 69145

List of positive integer factors of 69145 that divides 69145 without a remainder.

1, 5, 13829

Step-4: Factors of 69165

List of positive integer factors of 69165 that divides 69145 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69145 and 69165. The biggest common factor number is the GCF number.
So the greatest common factor 69145 and 69165 is 5.

Also check out the Least Common Multiple of 69145 and 69165