What is the Greatest Common Factor of 69536 and 69544?

Greatest common factor (GCF) of 69536 and 69544 is 8.

GCF(69536,69544) = 8

We will now calculate the prime factors of 69536 and 69544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69536 and 69544.

How to find the GCF of 69536 and 69544?

We will first find the prime factorization of 69536 and 69544. After we will calculate the factors of 69536 and 69544 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 69544

Prime factors of 69544 are 2, 8693. Prime factorization of 69544 in exponential form is:

69544 = 2³ × 8693¹

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 69544

List of positive integer factors of 69544 that divides 69536 without a remainder.

1, 2, 4, 8, 8693, 17386, 34772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69536 and 69544. The biggest common factor number is the GCF number.
So the greatest common factor 69536 and 69544 is 8.

Also check out the Least Common Multiple of 69536 and 69544