What is the Greatest Common Factor of 12600 and 12605?

Greatest common factor (GCF) of 12600 and 12605 is 5.

GCF(12600,12605) = 5

We will now calculate the prime factors of 12600 and 12605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12600 and 12605.

How to find the GCF of 12600 and 12605?

We will first find the prime factorization of 12600 and 12605. After we will calculate the factors of 12600 and 12605 and find the biggest common factor number .

Step-1: Prime Factorization of 12600

Prime factors of 12600 are 2, 3, 5, 7. Prime factorization of 12600 in exponential form is:

12600 = 2³ × 3² × 5² × 7¹

Step-2: Prime Factorization of 12605

Prime factors of 12605 are 5, 2521. Prime factorization of 12605 in exponential form is:

12605 = 5¹ × 2521¹

Step-3: Factors of 12600

List of positive integer factors of 12600 that divides 12600 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 25, 28, 30, 35, 36, 40, 42, 45, 50, 56, 60, 63, 70, 72, 75, 84, 90, 100, 105, 120, 126, 140, 150, 168, 175, 180, 200, 210, 225, 252, 280, 300, 315, 350, 360, 420, 450, 504, 525, 600, 630, 700, 840, 900, 1050, 1260, 1400, 1575, 1800, 2100, 2520, 3150, 4200, 6300

Step-4: Factors of 12605

List of positive integer factors of 12605 that divides 12600 without a remainder.

1, 5, 2521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12600 and 12605. The biggest common factor number is the GCF number.
So the greatest common factor 12600 and 12605 is 5.

Also check out the Least Common Multiple of 12600 and 12605