What is the Greatest Common Factor of 69288 and 69305?

Greatest common factor (GCF) of 69288 and 69305 is 1.

GCF(69288,69305) = 1

We will now calculate the prime factors of 69288 and 69305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69288 and 69305.

How to find the GCF of 69288 and 69305?

We will first find the prime factorization of 69288 and 69305. After we will calculate the factors of 69288 and 69305 and find the biggest common factor number .

Step-1: Prime Factorization of 69288

Prime factors of 69288 are 2, 3, 2887. Prime factorization of 69288 in exponential form is:

69288 = 2³ × 3¹ × 2887¹

Step-2: Prime Factorization of 69305

Prime factors of 69305 are 5, 83, 167. Prime factorization of 69305 in exponential form is:

69305 = 5¹ × 83¹ × 167¹

Step-3: Factors of 69288

List of positive integer factors of 69288 that divides 69288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2887, 5774, 8661, 11548, 17322, 23096, 34644

Step-4: Factors of 69305

List of positive integer factors of 69305 that divides 69288 without a remainder.

1, 5, 83, 167, 415, 835, 13861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69288 and 69305. The biggest common factor number is the GCF number.
So the greatest common factor 69288 and 69305 is 1.

Also check out the Least Common Multiple of 69288 and 69305