What is the Greatest Common Factor of 15639 and 15652?

Greatest common factor (GCF) of 15639 and 15652 is 13.

GCF(15639,15652) = 13

We will now calculate the prime factors of 15639 and 15652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15639 and 15652.

How to find the GCF of 15639 and 15652?

We will first find the prime factorization of 15639 and 15652. After we will calculate the factors of 15639 and 15652 and find the biggest common factor number .

Step-1: Prime Factorization of 15639

Prime factors of 15639 are 3, 13, 401. Prime factorization of 15639 in exponential form is:

15639 = 3¹ × 13¹ × 401¹

Step-2: Prime Factorization of 15652

Prime factors of 15652 are 2, 7, 13, 43. Prime factorization of 15652 in exponential form is:

15652 = 2² × 7¹ × 13¹ × 43¹

Step-3: Factors of 15639

List of positive integer factors of 15639 that divides 15639 without a remainder.

1, 3, 13, 39, 401, 1203, 5213

Step-4: Factors of 15652

List of positive integer factors of 15652 that divides 15639 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 43, 52, 86, 91, 172, 182, 301, 364, 559, 602, 1118, 1204, 2236, 3913, 7826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15639 and 15652. The biggest common factor number is the GCF number.
So the greatest common factor 15639 and 15652 is 13.

Also check out the Least Common Multiple of 15639 and 15652