What is the Greatest Common Factor of 34150 and 34169?

Greatest common factor (GCF) of 34150 and 34169 is 1.

GCF(34150,34169) = 1

We will now calculate the prime factors of 34150 and 34169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34150 and 34169.

How to find the GCF of 34150 and 34169?

We will first find the prime factorization of 34150 and 34169. After we will calculate the factors of 34150 and 34169 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34169

Prime factors of 34169 are 47, 727. Prime factorization of 34169 in exponential form is:

34169 = 47¹ × 727¹

Step-3: Factors of 34150

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

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

Step-4: Factors of 34169

List of positive integer factors of 34169 that divides 34150 without a remainder.

1, 47, 727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34150 and 34169. The biggest common factor number is the GCF number.
So the greatest common factor 34150 and 34169 is 1.

Also check out the Least Common Multiple of 34150 and 34169