What is the Greatest Common Factor of 30340 and 30350?

Greatest common factor (GCF) of 30340 and 30350 is 10.

GCF(30340,30350) = 10

We will now calculate the prime factors of 30340 and 30350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30340 and 30350.

How to find the GCF of 30340 and 30350?

We will first find the prime factorization of 30340 and 30350. After we will calculate the factors of 30340 and 30350 and find the biggest common factor number .

Step-1: Prime Factorization of 30340

Prime factors of 30340 are 2, 5, 37, 41. Prime factorization of 30340 in exponential form is:

30340 = 2² × 5¹ × 37¹ × 41¹

Step-2: Prime Factorization of 30350

Prime factors of 30350 are 2, 5, 607. Prime factorization of 30350 in exponential form is:

30350 = 2¹ × 5² × 607¹

Step-3: Factors of 30340

List of positive integer factors of 30340 that divides 30340 without a remainder.

1, 2, 4, 5, 10, 20, 37, 41, 74, 82, 148, 164, 185, 205, 370, 410, 740, 820, 1517, 3034, 6068, 7585, 15170

Step-4: Factors of 30350

List of positive integer factors of 30350 that divides 30340 without a remainder.

1, 2, 5, 10, 25, 50, 607, 1214, 3035, 6070, 15175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30340 and 30350. The biggest common factor number is the GCF number.
So the greatest common factor 30340 and 30350 is 10.

Also check out the Least Common Multiple of 30340 and 30350