What is the Greatest Common Factor of 39832 and 39845?

Greatest common factor (GCF) of 39832 and 39845 is 13.

GCF(39832,39845) = 13

We will now calculate the prime factors of 39832 and 39845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39832 and 39845.

How to find the GCF of 39832 and 39845?

We will first find the prime factorization of 39832 and 39845. After we will calculate the factors of 39832 and 39845 and find the biggest common factor number .

Step-1: Prime Factorization of 39832

Prime factors of 39832 are 2, 13, 383. Prime factorization of 39832 in exponential form is:

39832 = 2³ × 13¹ × 383¹

Step-2: Prime Factorization of 39845

Prime factors of 39845 are 5, 13, 613. Prime factorization of 39845 in exponential form is:

39845 = 5¹ × 13¹ × 613¹

Step-3: Factors of 39832

List of positive integer factors of 39832 that divides 39832 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 383, 766, 1532, 3064, 4979, 9958, 19916

Step-4: Factors of 39845

List of positive integer factors of 39845 that divides 39832 without a remainder.

1, 5, 13, 65, 613, 3065, 7969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39832 and 39845. The biggest common factor number is the GCF number.
So the greatest common factor 39832 and 39845 is 13.

Also check out the Least Common Multiple of 39832 and 39845