What is the Greatest Common Factor of 69456 and 69465?

Greatest common factor (GCF) of 69456 and 69465 is 3.

GCF(69456,69465) = 3

We will now calculate the prime factors of 69456 and 69465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69456 and 69465.

How to find the GCF of 69456 and 69465?

We will first find the prime factorization of 69456 and 69465. After we will calculate the factors of 69456 and 69465 and find the biggest common factor number .

Step-1: Prime Factorization of 69456

Prime factors of 69456 are 2, 3, 1447. Prime factorization of 69456 in exponential form is:

69456 = 2⁴ × 3¹ × 1447¹

Step-2: Prime Factorization of 69465

Prime factors of 69465 are 3, 5, 11, 421. Prime factorization of 69465 in exponential form is:

69465 = 3¹ × 5¹ × 11¹ × 421¹

Step-3: Factors of 69456

List of positive integer factors of 69456 that divides 69456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1447, 2894, 4341, 5788, 8682, 11576, 17364, 23152, 34728

Step-4: Factors of 69465

List of positive integer factors of 69465 that divides 69456 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 421, 1263, 2105, 4631, 6315, 13893, 23155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69456 and 69465. The biggest common factor number is the GCF number.
So the greatest common factor 69456 and 69465 is 3.

Also check out the Least Common Multiple of 69456 and 69465