What is the Greatest Common Factor of 34275 and 34293?

Greatest common factor (GCF) of 34275 and 34293 is 3.

GCF(34275,34293) = 3

We will now calculate the prime factors of 34275 and 34293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34275 and 34293.

How to find the GCF of 34275 and 34293?

We will first find the prime factorization of 34275 and 34293. After we will calculate the factors of 34275 and 34293 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 34293

Prime factors of 34293 are 3, 7, 23, 71. Prime factorization of 34293 in exponential form is:

34293 = 3¹ × 7¹ × 23¹ × 71¹

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 34293

List of positive integer factors of 34293 that divides 34275 without a remainder.

1, 3, 7, 21, 23, 69, 71, 161, 213, 483, 497, 1491, 1633, 4899, 11431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34275 and 34293. The biggest common factor number is the GCF number.
So the greatest common factor 34275 and 34293 is 3.

Also check out the Least Common Multiple of 34275 and 34293