What is the Greatest Common Factor of 69456 and 69469?

Greatest common factor (GCF) of 69456 and 69469 is 1.

GCF(69456,69469) = 1

We will now calculate the prime factors of 69456 and 69469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69456 and 69469.

How to find the GCF of 69456 and 69469?

We will first find the prime factorization of 69456 and 69469. After we will calculate the factors of 69456 and 69469 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 69469

Prime factors of 69469 are 127, 547. Prime factorization of 69469 in exponential form is:

69469 = 127¹ × 547¹

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 69469

List of positive integer factors of 69469 that divides 69456 without a remainder.

1, 127, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69456 and 69469. The biggest common factor number is the GCF number.
So the greatest common factor 69456 and 69469 is 1.

Also check out the Least Common Multiple of 69456 and 69469