What is the Greatest Common Factor of 38508 and 38524?

Greatest common factor (GCF) of 38508 and 38524 is 4.

GCF(38508,38524) = 4

We will now calculate the prime factors of 38508 and 38524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38508 and 38524.

How to find the GCF of 38508 and 38524?

We will first find the prime factorization of 38508 and 38524. After we will calculate the factors of 38508 and 38524 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38524

Prime factors of 38524 are 2, 9631. Prime factorization of 38524 in exponential form is:

38524 = 2² × 9631¹

Step-3: Factors of 38508

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

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

Step-4: Factors of 38524

List of positive integer factors of 38524 that divides 38508 without a remainder.

1, 2, 4, 9631, 19262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38508 and 38524. The biggest common factor number is the GCF number.
So the greatest common factor 38508 and 38524 is 4.

Also check out the Least Common Multiple of 38508 and 38524