What is the Greatest Common Factor of 69165 and 69170?

Greatest common factor (GCF) of 69165 and 69170 is 5.

GCF(69165,69170) = 5

We will now calculate the prime factors of 69165 and 69170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69165 and 69170.

How to find the GCF of 69165 and 69170?

We will first find the prime factorization of 69165 and 69170. After we will calculate the factors of 69165 and 69170 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 69170

Prime factors of 69170 are 2, 5, 6917. Prime factorization of 69170 in exponential form is:

69170 = 2¹ × 5¹ × 6917¹

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 69170

List of positive integer factors of 69170 that divides 69165 without a remainder.

1, 2, 5, 10, 6917, 13834, 34585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69165 and 69170. The biggest common factor number is the GCF number.
So the greatest common factor 69165 and 69170 is 5.

Also check out the Least Common Multiple of 69165 and 69170