What is the Greatest Common Factor of 69273 and 69288?

Greatest common factor (GCF) of 69273 and 69288 is 3.

GCF(69273,69288) = 3

We will now calculate the prime factors of 69273 and 69288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69273 and 69288.

How to find the GCF of 69273 and 69288?

We will first find the prime factorization of 69273 and 69288. After we will calculate the factors of 69273 and 69288 and find the biggest common factor number .

Step-1: Prime Factorization of 69273

Prime factors of 69273 are 3, 43, 179. Prime factorization of 69273 in exponential form is:

69273 = 3² × 43¹ × 179¹

Step-2: 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-3: Factors of 69273

List of positive integer factors of 69273 that divides 69273 without a remainder.

1, 3, 9, 43, 129, 179, 387, 537, 1611, 7697, 23091

Step-4: Factors of 69288

List of positive integer factors of 69288 that divides 69273 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69273 and 69288. The biggest common factor number is the GCF number.
So the greatest common factor 69273 and 69288 is 3.

Also check out the Least Common Multiple of 69273 and 69288