What is the Greatest Common Factor of 15600 and 15613?

Greatest common factor (GCF) of 15600 and 15613 is 13.

GCF(15600,15613) = 13

We will now calculate the prime factors of 15600 and 15613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15600 and 15613.

How to find the GCF of 15600 and 15613?

We will first find the prime factorization of 15600 and 15613. After we will calculate the factors of 15600 and 15613 and find the biggest common factor number .

Step-1: Prime Factorization of 15600

Prime factors of 15600 are 2, 3, 5, 13. Prime factorization of 15600 in exponential form is:

15600 = 2⁴ × 3¹ × 5² × 13¹

Step-2: Prime Factorization of 15613

Prime factors of 15613 are 13, 1201. Prime factorization of 15613 in exponential form is:

15613 = 13¹ × 1201¹

Step-3: Factors of 15600

List of positive integer factors of 15600 that divides 15600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 25, 26, 30, 39, 40, 48, 50, 52, 60, 65, 75, 78, 80, 100, 104, 120, 130, 150, 156, 195, 200, 208, 240, 260, 300, 312, 325, 390, 400, 520, 600, 624, 650, 780, 975, 1040, 1200, 1300, 1560, 1950, 2600, 3120, 3900, 5200, 7800

Step-4: Factors of 15613

List of positive integer factors of 15613 that divides 15600 without a remainder.

1, 13, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15600 and 15613. The biggest common factor number is the GCF number.
So the greatest common factor 15600 and 15613 is 13.

Also check out the Least Common Multiple of 15600 and 15613