What is the Greatest Common Factor of 38496 and 38508?

Greatest common factor (GCF) of 38496 and 38508 is 12.

GCF(38496,38508) = 12

We will now calculate the prime factors of 38496 and 38508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38496 and 38508.

How to find the GCF of 38496 and 38508?

We will first find the prime factorization of 38496 and 38508. After we will calculate the factors of 38496 and 38508 and find the biggest common factor number .

Step-1: Prime Factorization of 38496

Prime factors of 38496 are 2, 3, 401. Prime factorization of 38496 in exponential form is:

38496 = 2⁵ × 3¹ × 401¹

Step-2: Prime Factorization of 38508

Prime factors of 38508 are 2, 3, 3209. Prime factorization of 38508 in exponential form is:

38508 = 2² × 3¹ × 3209¹

Step-3: Factors of 38496

List of positive integer factors of 38496 that divides 38496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624, 12832, 19248

Step-4: Factors of 38508

List of positive integer factors of 38508 that divides 38496 without a remainder.

1, 2, 3, 4, 6, 12, 3209, 6418, 9627, 12836, 19254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38496 and 38508. The biggest common factor number is the GCF number.
So the greatest common factor 38496 and 38508 is 12.

Also check out the Least Common Multiple of 38496 and 38508