What is the Greatest Common Factor of 69456 and 69475?

Greatest common factor (GCF) of 69456 and 69475 is 1.

GCF(69456,69475) = 1

We will now calculate the prime factors of 69456 and 69475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69456 and 69475.

How to find the GCF of 69456 and 69475?

We will first find the prime factorization of 69456 and 69475. After we will calculate the factors of 69456 and 69475 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 69475

Prime factors of 69475 are 5, 7, 397. Prime factorization of 69475 in exponential form is:

69475 = 5² × 7¹ × 397¹

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 69475

List of positive integer factors of 69475 that divides 69456 without a remainder.

1, 5, 7, 25, 35, 175, 397, 1985, 2779, 9925, 13895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69456 and 69475. The biggest common factor number is the GCF number.
So the greatest common factor 69456 and 69475 is 1.

Also check out the Least Common Multiple of 69456 and 69475