What is the Greatest Common Factor of 34275 and 34283?

Greatest common factor (GCF) of 34275 and 34283 is 1.

GCF(34275,34283) = 1

We will now calculate the prime factors of 34275 and 34283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34275 and 34283.

How to find the GCF of 34275 and 34283?

We will first find the prime factorization of 34275 and 34283. After we will calculate the factors of 34275 and 34283 and find the biggest common factor number .

Step-1: Prime Factorization of 34275

Prime factors of 34275 are 3, 5, 457. Prime factorization of 34275 in exponential form is:

34275 = 3¹ × 5² × 457¹

Step-2: Prime Factorization of 34283

Prime factors of 34283 are 34283. Prime factorization of 34283 in exponential form is:

34283 = 34283¹

Step-3: Factors of 34275

List of positive integer factors of 34275 that divides 34275 without a remainder.

1, 3, 5, 15, 25, 75, 457, 1371, 2285, 6855, 11425

Step-4: Factors of 34283

List of positive integer factors of 34283 that divides 34275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34275 and 34283. The biggest common factor number is the GCF number.
So the greatest common factor 34275 and 34283 is 1.

Also check out the Least Common Multiple of 34275 and 34283