What is the Greatest Common Factor of 69165 and 69169?

Greatest common factor (GCF) of 69165 and 69169 is 1.

GCF(69165,69169) = 1

We will now calculate the prime factors of 69165 and 69169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69165 and 69169.

How to find the GCF of 69165 and 69169?

We will first find the prime factorization of 69165 and 69169. After we will calculate the factors of 69165 and 69169 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 69169

Prime factors of 69169 are 263. Prime factorization of 69169 in exponential form is:

69169 = 263²

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 69169

List of positive integer factors of 69169 that divides 69165 without a remainder.

1, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69165 and 69169. The biggest common factor number is the GCF number.
So the greatest common factor 69165 and 69169 is 1.

Also check out the Least Common Multiple of 69165 and 69169