What is the Greatest Common Factor of 12600 and 12607?

Greatest common factor (GCF) of 12600 and 12607 is 7.

GCF(12600,12607) = 7

We will now calculate the prime factors of 12600 and 12607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12600 and 12607.

How to find the GCF of 12600 and 12607?

We will first find the prime factorization of 12600 and 12607. After we will calculate the factors of 12600 and 12607 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 12607

Prime factors of 12607 are 7, 1801. Prime factorization of 12607 in exponential form is:

12607 = 7¹ × 1801¹

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 12607

List of positive integer factors of 12607 that divides 12600 without a remainder.

1, 7, 1801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12600 and 12607. The biggest common factor number is the GCF number.
So the greatest common factor 12600 and 12607 is 7.

Also check out the Least Common Multiple of 12600 and 12607