What is the Greatest Common Factor of 34140 and 34150?

Greatest common factor (GCF) of 34140 and 34150 is 10.

GCF(34140,34150) = 10

We will now calculate the prime factors of 34140 and 34150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34140 and 34150.

How to find the GCF of 34140 and 34150?

We will first find the prime factorization of 34140 and 34150. After we will calculate the factors of 34140 and 34150 and find the biggest common factor number .

Step-1: Prime Factorization of 34140

Prime factors of 34140 are 2, 3, 5, 569. Prime factorization of 34140 in exponential form is:

34140 = 2² × 3¹ × 5¹ × 569¹

Step-2: Prime Factorization of 34150

Prime factors of 34150 are 2, 5, 683. Prime factorization of 34150 in exponential form is:

34150 = 2¹ × 5² × 683¹

Step-3: Factors of 34140

List of positive integer factors of 34140 that divides 34140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 569, 1138, 1707, 2276, 2845, 3414, 5690, 6828, 8535, 11380, 17070

Step-4: Factors of 34150

List of positive integer factors of 34150 that divides 34140 without a remainder.

1, 2, 5, 10, 25, 50, 683, 1366, 3415, 6830, 17075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34140 and 34150. The biggest common factor number is the GCF number.
So the greatest common factor 34140 and 34150 is 10.

Also check out the Least Common Multiple of 34140 and 34150