What is the Greatest Common Factor of 34300 and 34313?

Greatest common factor (GCF) of 34300 and 34313 is 1.

GCF(34300,34313) = 1

We will now calculate the prime factors of 34300 and 34313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34300 and 34313.

How to find the GCF of 34300 and 34313?

We will first find the prime factorization of 34300 and 34313. After we will calculate the factors of 34300 and 34313 and find the biggest common factor number .

Step-1: Prime Factorization of 34300

Prime factors of 34300 are 2, 5, 7. Prime factorization of 34300 in exponential form is:

34300 = 2² × 5² × 7³

Step-2: Prime Factorization of 34313

Prime factors of 34313 are 34313. Prime factorization of 34313 in exponential form is:

34313 = 34313¹

Step-3: Factors of 34300

List of positive integer factors of 34300 that divides 34300 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 343, 350, 490, 686, 700, 980, 1225, 1372, 1715, 2450, 3430, 4900, 6860, 8575, 17150

Step-4: Factors of 34313

List of positive integer factors of 34313 that divides 34300 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34300 and 34313. The biggest common factor number is the GCF number.
So the greatest common factor 34300 and 34313 is 1.

Also check out the Least Common Multiple of 34300 and 34313