What is the Greatest Common Factor of 7839 and 7852?

Greatest common factor (GCF) of 7839 and 7852 is 13.

GCF(7839,7852) = 13

We will now calculate the prime factors of 7839 and 7852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7839 and 7852.

How to find the GCF of 7839 and 7852?

We will first find the prime factorization of 7839 and 7852. After we will calculate the factors of 7839 and 7852 and find the biggest common factor number .

Step-1: Prime Factorization of 7839

Prime factors of 7839 are 3, 13, 67. Prime factorization of 7839 in exponential form is:

7839 = 3² × 13¹ × 67¹

Step-2: Prime Factorization of 7852

Prime factors of 7852 are 2, 13, 151. Prime factorization of 7852 in exponential form is:

7852 = 2² × 13¹ × 151¹

Step-3: Factors of 7839

List of positive integer factors of 7839 that divides 7839 without a remainder.

1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613

Step-4: Factors of 7852

List of positive integer factors of 7852 that divides 7839 without a remainder.

1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7839 and 7852. The biggest common factor number is the GCF number.
So the greatest common factor 7839 and 7852 is 13.

Also check out the Least Common Multiple of 7839 and 7852