What is the Greatest Common Factor of 12600 and 12616?

Greatest common factor (GCF) of 12600 and 12616 is 8.

GCF(12600,12616) = 8

We will now calculate the prime factors of 12600 and 12616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12600 and 12616.

How to find the GCF of 12600 and 12616?

We will first find the prime factorization of 12600 and 12616. After we will calculate the factors of 12600 and 12616 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 12616

Prime factors of 12616 are 2, 19, 83. Prime factorization of 12616 in exponential form is:

12616 = 2³ × 19¹ × 83¹

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 12616

List of positive integer factors of 12616 that divides 12600 without a remainder.

1, 2, 4, 8, 19, 38, 76, 83, 152, 166, 332, 664, 1577, 3154, 6308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12600 and 12616. The biggest common factor number is the GCF number.
So the greatest common factor 12600 and 12616 is 8.

Also check out the Least Common Multiple of 12600 and 12616