What is the Greatest Common Factor of 12600 and 12610?

Greatest common factor (GCF) of 12600 and 12610 is 10.

GCF(12600,12610) = 10

We will now calculate the prime factors of 12600 and 12610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12600 and 12610.

How to find the GCF of 12600 and 12610?

We will first find the prime factorization of 12600 and 12610. After we will calculate the factors of 12600 and 12610 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 12610

Prime factors of 12610 are 2, 5, 13, 97. Prime factorization of 12610 in exponential form is:

12610 = 2¹ × 5¹ × 13¹ × 97¹

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 12610

List of positive integer factors of 12610 that divides 12600 without a remainder.

1, 2, 5, 10, 13, 26, 65, 97, 130, 194, 485, 970, 1261, 2522, 6305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12600 and 12610. The biggest common factor number is the GCF number.
So the greatest common factor 12600 and 12610 is 10.

Also check out the Least Common Multiple of 12600 and 12610