What is the Greatest Common Factor of 30840 and 30850?

Greatest common factor (GCF) of 30840 and 30850 is 10.

GCF(30840,30850) = 10

We will now calculate the prime factors of 30840 and 30850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30840 and 30850.

How to find the GCF of 30840 and 30850?

We will first find the prime factorization of 30840 and 30850. After we will calculate the factors of 30840 and 30850 and find the biggest common factor number .

Step-1: Prime Factorization of 30840

Prime factors of 30840 are 2, 3, 5, 257. Prime factorization of 30840 in exponential form is:

30840 = 2³ × 3¹ × 5¹ × 257¹

Step-2: Prime Factorization of 30850

Prime factors of 30850 are 2, 5, 617. Prime factorization of 30850 in exponential form is:

30850 = 2¹ × 5² × 617¹

Step-3: Factors of 30840

List of positive integer factors of 30840 that divides 30840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 257, 514, 771, 1028, 1285, 1542, 2056, 2570, 3084, 3855, 5140, 6168, 7710, 10280, 15420

Step-4: Factors of 30850

List of positive integer factors of 30850 that divides 30840 without a remainder.

1, 2, 5, 10, 25, 50, 617, 1234, 3085, 6170, 15425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30840 and 30850. The biggest common factor number is the GCF number.
So the greatest common factor 30840 and 30850 is 10.

Also check out the Least Common Multiple of 30840 and 30850