What is the Greatest Common Factor of 34350 and 34370?

Greatest common factor (GCF) of 34350 and 34370 is 10.

GCF(34350,34370) = 10

We will now calculate the prime factors of 34350 and 34370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34350 and 34370.

How to find the GCF of 34350 and 34370?

We will first find the prime factorization of 34350 and 34370. After we will calculate the factors of 34350 and 34370 and find the biggest common factor number .

Step-1: Prime Factorization of 34350

Prime factors of 34350 are 2, 3, 5, 229. Prime factorization of 34350 in exponential form is:

34350 = 2¹ × 3¹ × 5² × 229¹

Step-2: Prime Factorization of 34370

Prime factors of 34370 are 2, 5, 7, 491. Prime factorization of 34370 in exponential form is:

34370 = 2¹ × 5¹ × 7¹ × 491¹

Step-3: Factors of 34350

List of positive integer factors of 34350 that divides 34350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 229, 458, 687, 1145, 1374, 2290, 3435, 5725, 6870, 11450, 17175

Step-4: Factors of 34370

List of positive integer factors of 34370 that divides 34350 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 491, 982, 2455, 3437, 4910, 6874, 17185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34350 and 34370. The biggest common factor number is the GCF number.
So the greatest common factor 34350 and 34370 is 10.

Also check out the Least Common Multiple of 34350 and 34370