What is the Greatest Common Factor of 30600 and 30617?

Greatest common factor (GCF) of 30600 and 30617 is 17.

GCF(30600,30617) = 17

We will now calculate the prime factors of 30600 and 30617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30600 and 30617.

How to find the GCF of 30600 and 30617?

We will first find the prime factorization of 30600 and 30617. After we will calculate the factors of 30600 and 30617 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 30617

Prime factors of 30617 are 17, 1801. Prime factorization of 30617 in exponential form is:

30617 = 17¹ × 1801¹

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 30617

List of positive integer factors of 30617 that divides 30600 without a remainder.

1, 17, 1801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30600 and 30617. The biggest common factor number is the GCF number.
So the greatest common factor 30600 and 30617 is 17.

Also check out the Least Common Multiple of 30600 and 30617