What is the Greatest Common Factor of 69065 and 69071?

Greatest common factor (GCF) of 69065 and 69071 is 1.

GCF(69065,69071) = 1

We will now calculate the prime factors of 69065 and 69071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69065 and 69071.

How to find the GCF of 69065 and 69071?

We will first find the prime factorization of 69065 and 69071. After we will calculate the factors of 69065 and 69071 and find the biggest common factor number .

Step-1: Prime Factorization of 69065

Prime factors of 69065 are 5, 19, 727. Prime factorization of 69065 in exponential form is:

69065 = 5¹ × 19¹ × 727¹

Step-2: Prime Factorization of 69071

Prime factors of 69071 are 17, 239. Prime factorization of 69071 in exponential form is:

69071 = 17² × 239¹

Step-3: Factors of 69065

List of positive integer factors of 69065 that divides 69065 without a remainder.

1, 5, 19, 95, 727, 3635, 13813

Step-4: Factors of 69071

List of positive integer factors of 69071 that divides 69065 without a remainder.

1, 17, 239, 289, 4063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69065 and 69071. The biggest common factor number is the GCF number.
So the greatest common factor 69065 and 69071 is 1.

Also check out the Least Common Multiple of 69065 and 69071