What is the Greatest Common Factor of 34310 and 34325?

Greatest common factor (GCF) of 34310 and 34325 is 5.

GCF(34310,34325) = 5

We will now calculate the prime factors of 34310 and 34325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34310 and 34325.

How to find the GCF of 34310 and 34325?

We will first find the prime factorization of 34310 and 34325. After we will calculate the factors of 34310 and 34325 and find the biggest common factor number .

Step-1: Prime Factorization of 34310

Prime factors of 34310 are 2, 5, 47, 73. Prime factorization of 34310 in exponential form is:

34310 = 2¹ × 5¹ × 47¹ × 73¹

Step-2: Prime Factorization of 34325

Prime factors of 34325 are 5, 1373. Prime factorization of 34325 in exponential form is:

34325 = 5² × 1373¹

Step-3: Factors of 34310

List of positive integer factors of 34310 that divides 34310 without a remainder.

1, 2, 5, 10, 47, 73, 94, 146, 235, 365, 470, 730, 3431, 6862, 17155

Step-4: Factors of 34325

List of positive integer factors of 34325 that divides 34310 without a remainder.

1, 5, 25, 1373, 6865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34310 and 34325. The biggest common factor number is the GCF number.
So the greatest common factor 34310 and 34325 is 5.

Also check out the Least Common Multiple of 34310 and 34325