What is the Greatest Common Factor of 69158 and 69165?

Greatest common factor (GCF) of 69158 and 69165 is 1.

GCF(69158,69165) = 1

We will now calculate the prime factors of 69158 and 69165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69158 and 69165.

How to find the GCF of 69158 and 69165?

We will first find the prime factorization of 69158 and 69165. After we will calculate the factors of 69158 and 69165 and find the biggest common factor number .

Step-1: Prime Factorization of 69158

Prime factors of 69158 are 2, 151, 229. Prime factorization of 69158 in exponential form is:

69158 = 2¹ × 151¹ × 229¹

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 69158

List of positive integer factors of 69158 that divides 69158 without a remainder.

1, 2, 151, 229, 302, 458, 34579

Step-4: Factors of 69165

List of positive integer factors of 69165 that divides 69158 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 69158 and 69165. The biggest common factor number is the GCF number.
So the greatest common factor 69158 and 69165 is 1.

Also check out the Least Common Multiple of 69158 and 69165