What is the Greatest Common Factor of 39819 and 39832?

Greatest common factor (GCF) of 39819 and 39832 is 13.

GCF(39819,39832) = 13

We will now calculate the prime factors of 39819 and 39832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39819 and 39832.

How to find the GCF of 39819 and 39832?

We will first find the prime factorization of 39819 and 39832. After we will calculate the factors of 39819 and 39832 and find the biggest common factor number .

Step-1: Prime Factorization of 39819

Prime factors of 39819 are 3, 13, 1021. Prime factorization of 39819 in exponential form is:

39819 = 3¹ × 13¹ × 1021¹

Step-2: 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-3: Factors of 39819

List of positive integer factors of 39819 that divides 39819 without a remainder.

1, 3, 13, 39, 1021, 3063, 13273

Step-4: Factors of 39832

List of positive integer factors of 39832 that divides 39819 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39819 and 39832. The biggest common factor number is the GCF number.
So the greatest common factor 39819 and 39832 is 13.

Also check out the Least Common Multiple of 39819 and 39832