What is the Greatest Common Factor of 39524 and 39538?

Greatest common factor (GCF) of 39524 and 39538 is 2.

GCF(39524,39538) = 2

We will now calculate the prime factors of 39524 and 39538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39524 and 39538.

How to find the GCF of 39524 and 39538?

We will first find the prime factorization of 39524 and 39538. After we will calculate the factors of 39524 and 39538 and find the biggest common factor number .

Step-1: Prime Factorization of 39524

Prime factors of 39524 are 2, 41, 241. Prime factorization of 39524 in exponential form is:

39524 = 2² × 41¹ × 241¹

Step-2: Prime Factorization of 39538

Prime factors of 39538 are 2, 53, 373. Prime factorization of 39538 in exponential form is:

39538 = 2¹ × 53¹ × 373¹

Step-3: Factors of 39524

List of positive integer factors of 39524 that divides 39524 without a remainder.

1, 2, 4, 41, 82, 164, 241, 482, 964, 9881, 19762

Step-4: Factors of 39538

List of positive integer factors of 39538 that divides 39524 without a remainder.

1, 2, 53, 106, 373, 746, 19769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39524 and 39538. The biggest common factor number is the GCF number.
So the greatest common factor 39524 and 39538 is 2.

Also check out the Least Common Multiple of 39524 and 39538