What is the Greatest Common Factor of 15600 and 15605?

Greatest common factor (GCF) of 15600 and 15605 is 5.

GCF(15600,15605) = 5

We will now calculate the prime factors of 15600 and 15605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15600 and 15605.

How to find the GCF of 15600 and 15605?

We will first find the prime factorization of 15600 and 15605. After we will calculate the factors of 15600 and 15605 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 15605

Prime factors of 15605 are 5, 3121. Prime factorization of 15605 in exponential form is:

15605 = 5¹ × 3121¹

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 15605

List of positive integer factors of 15605 that divides 15600 without a remainder.

1, 5, 3121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15600 and 15605. The biggest common factor number is the GCF number.
So the greatest common factor 15600 and 15605 is 5.

Also check out the Least Common Multiple of 15600 and 15605