What is the Greatest Common Factor of 15645 and 15652?

Greatest common factor (GCF) of 15645 and 15652 is 7.

GCF(15645,15652) = 7

We will now calculate the prime factors of 15645 and 15652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15645 and 15652.

How to find the GCF of 15645 and 15652?

We will first find the prime factorization of 15645 and 15652. After we will calculate the factors of 15645 and 15652 and find the biggest common factor number .

Step-1: Prime Factorization of 15645

Prime factors of 15645 are 3, 5, 7, 149. Prime factorization of 15645 in exponential form is:

15645 = 3¹ × 5¹ × 7¹ × 149¹

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 15645

List of positive integer factors of 15645 that divides 15645 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 149, 447, 745, 1043, 2235, 3129, 5215

Step-4: Factors of 15652

List of positive integer factors of 15652 that divides 15645 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 15645 and 15652. The biggest common factor number is the GCF number.
So the greatest common factor 15645 and 15652 is 7.

Also check out the Least Common Multiple of 15645 and 15652