What is the Greatest Common Factor of 39524 and 39540?

Greatest common factor (GCF) of 39524 and 39540 is 4.

GCF(39524,39540) = 4

We will now calculate the prime factors of 39524 and 39540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39524 and 39540.

How to find the GCF of 39524 and 39540?

We will first find the prime factorization of 39524 and 39540. After we will calculate the factors of 39524 and 39540 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 39540

Prime factors of 39540 are 2, 3, 5, 659. Prime factorization of 39540 in exponential form is:

39540 = 2² × 3¹ × 5¹ × 659¹

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 39540

List of positive integer factors of 39540 that divides 39524 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 659, 1318, 1977, 2636, 3295, 3954, 6590, 7908, 9885, 13180, 19770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39524 and 39540. The biggest common factor number is the GCF number.
So the greatest common factor 39524 and 39540 is 4.

Also check out the Least Common Multiple of 39524 and 39540