What is the Greatest Common Factor of 69276 and 69288?

Greatest common factor (GCF) of 69276 and 69288 is 12.

GCF(69276,69288) = 12

We will now calculate the prime factors of 69276 and 69288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69276 and 69288.

How to find the GCF of 69276 and 69288?

We will first find the prime factorization of 69276 and 69288. After we will calculate the factors of 69276 and 69288 and find the biggest common factor number .

Step-1: Prime Factorization of 69276

Prime factors of 69276 are 2, 3, 23, 251. Prime factorization of 69276 in exponential form is:

69276 = 2² × 3¹ × 23¹ × 251¹

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 69276

List of positive integer factors of 69276 that divides 69276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 251, 276, 502, 753, 1004, 1506, 3012, 5773, 11546, 17319, 23092, 34638

Step-4: Factors of 69288

List of positive integer factors of 69288 that divides 69276 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 69276 and 69288. The biggest common factor number is the GCF number.
So the greatest common factor 69276 and 69288 is 12.

Also check out the Least Common Multiple of 69276 and 69288