What is the Greatest Common Factor of 34275 and 34290?

Greatest common factor (GCF) of 34275 and 34290 is 15.

GCF(34275,34290) = 15

We will now calculate the prime factors of 34275 and 34290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34275 and 34290.

How to find the GCF of 34275 and 34290?

We will first find the prime factorization of 34275 and 34290. After we will calculate the factors of 34275 and 34290 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 34290

Prime factors of 34290 are 2, 3, 5, 127. Prime factorization of 34290 in exponential form is:

34290 = 2¹ × 3³ × 5¹ × 127¹

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 34290

List of positive integer factors of 34290 that divides 34275 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 127, 135, 254, 270, 381, 635, 762, 1143, 1270, 1905, 2286, 3429, 3810, 5715, 6858, 11430, 17145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34275 and 34290. The biggest common factor number is the GCF number.
So the greatest common factor 34275 and 34290 is 15.

Also check out the Least Common Multiple of 34275 and 34290