What is the Greatest Common Factor of 69536 and 69548?

Greatest common factor (GCF) of 69536 and 69548 is 4.

GCF(69536,69548) = 4

We will now calculate the prime factors of 69536 and 69548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69536 and 69548.

How to find the GCF of 69536 and 69548?

We will first find the prime factorization of 69536 and 69548. After we will calculate the factors of 69536 and 69548 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 69548

Prime factors of 69548 are 2, 17387. Prime factorization of 69548 in exponential form is:

69548 = 2² × 17387¹

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 69548

List of positive integer factors of 69548 that divides 69536 without a remainder.

1, 2, 4, 17387, 34774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69536 and 69548. The biggest common factor number is the GCF number.
So the greatest common factor 69536 and 69548 is 4.

Also check out the Least Common Multiple of 69536 and 69548