What is the Greatest Common Factor of 69536 and 69543?

Greatest common factor (GCF) of 69536 and 69543 is 1.

GCF(69536,69543) = 1

We will now calculate the prime factors of 69536 and 69543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69536 and 69543.

How to find the GCF of 69536 and 69543?

We will first find the prime factorization of 69536 and 69543. After we will calculate the factors of 69536 and 69543 and find the biggest common factor number .

Step-1: Prime Factorization of 69536

Prime factors of 69536 are 2, 41, 53. Prime factorization of 69536 in exponential form is:

69536 = 2⁵ × 41¹ × 53¹

Step-2: Prime Factorization of 69543

Prime factors of 69543 are 3, 7727. Prime factorization of 69543 in exponential form is:

69543 = 3² × 7727¹

Step-3: Factors of 69536

List of positive integer factors of 69536 that divides 69536 without a remainder.

1, 2, 4, 8, 16, 32, 41, 53, 82, 106, 164, 212, 328, 424, 656, 848, 1312, 1696, 2173, 4346, 8692, 17384, 34768

Step-4: Factors of 69543

List of positive integer factors of 69543 that divides 69536 without a remainder.

1, 3, 9, 7727, 23181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69536 and 69543. The biggest common factor number is the GCF number.
So the greatest common factor 69536 and 69543 is 1.

Also check out the Least Common Multiple of 69536 and 69543