What is the Greatest Common Factor of 30600 and 30616?

Greatest common factor (GCF) of 30600 and 30616 is 8.

GCF(30600,30616) = 8

We will now calculate the prime factors of 30600 and 30616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30600 and 30616.

How to find the GCF of 30600 and 30616?

We will first find the prime factorization of 30600 and 30616. After we will calculate the factors of 30600 and 30616 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 30616

Prime factors of 30616 are 2, 43, 89. Prime factorization of 30616 in exponential form is:

30616 = 2³ × 43¹ × 89¹

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 30616

List of positive integer factors of 30616 that divides 30600 without a remainder.

1, 2, 4, 8, 43, 86, 89, 172, 178, 344, 356, 712, 3827, 7654, 15308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30600 and 30616. The biggest common factor number is the GCF number.
So the greatest common factor 30600 and 30616 is 8.

Also check out the Least Common Multiple of 30600 and 30616