What is the Greatest Common Factor of 15652 and 15659?

Greatest common factor (GCF) of 15652 and 15659 is 7.

GCF(15652,15659) = 7

We will now calculate the prime factors of 15652 and 15659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15652 and 15659.

How to find the GCF of 15652 and 15659?

We will first find the prime factorization of 15652 and 15659. After we will calculate the factors of 15652 and 15659 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15659

Prime factors of 15659 are 7, 2237. Prime factorization of 15659 in exponential form is:

15659 = 7¹ × 2237¹

Step-3: Factors of 15652

List of positive integer factors of 15652 that divides 15652 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

Step-4: Factors of 15659

List of positive integer factors of 15659 that divides 15652 without a remainder.

1, 7, 2237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15652 and 15659. The biggest common factor number is the GCF number.
So the greatest common factor 15652 and 15659 is 7.

Also check out the Least Common Multiple of 15652 and 15659