What is the Greatest Common Factor of 30600 and 30612?

Greatest common factor (GCF) of 30600 and 30612 is 12.

GCF(30600,30612) = 12

We will now calculate the prime factors of 30600 and 30612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30600 and 30612.

How to find the GCF of 30600 and 30612?

We will first find the prime factorization of 30600 and 30612. After we will calculate the factors of 30600 and 30612 and find the biggest common factor number .

Step-1: Prime Factorization of 30600

Prime factors of 30600 are 2, 3, 5, 17. Prime factorization of 30600 in exponential form is:

30600 = 2³ × 3² × 5² × 17¹

Step-2: Prime Factorization of 30612

Prime factors of 30612 are 2, 3, 2551. Prime factorization of 30612 in exponential form is:

30612 = 2² × 3¹ × 2551¹

Step-3: Factors of 30600

List of positive integer factors of 30600 that divides 30600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 25, 30, 34, 36, 40, 45, 50, 51, 60, 68, 72, 75, 85, 90, 100, 102, 120, 136, 150, 153, 170, 180, 200, 204, 225, 255, 300, 306, 340, 360, 408, 425, 450, 510, 600, 612, 680, 765, 850, 900, 1020, 1224, 1275, 1530, 1700, 1800, 2040, 2550, 3060, 3400, 3825, 5100, 6120, 7650, 10200, 15300

Step-4: Factors of 30612

List of positive integer factors of 30612 that divides 30600 without a remainder.

1, 2, 3, 4, 6, 12, 2551, 5102, 7653, 10204, 15306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30600 and 30612. The biggest common factor number is the GCF number.
So the greatest common factor 30600 and 30612 is 12.

Also check out the Least Common Multiple of 30600 and 30612