What is the Greatest Common Factor of 69288 and 69295?

Greatest common factor (GCF) of 69288 and 69295 is 1.

GCF(69288,69295) = 1

We will now calculate the prime factors of 69288 and 69295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69288 and 69295.

How to find the GCF of 69288 and 69295?

We will first find the prime factorization of 69288 and 69295. After we will calculate the factors of 69288 and 69295 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 69295

Prime factors of 69295 are 5, 13859. Prime factorization of 69295 in exponential form is:

69295 = 5¹ × 13859¹

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 69295

List of positive integer factors of 69295 that divides 69288 without a remainder.

1, 5, 13859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69288 and 69295. The biggest common factor number is the GCF number.
So the greatest common factor 69288 and 69295 is 1.

Also check out the Least Common Multiple of 69288 and 69295