What is the Greatest Common Factor of 34290 and 34309?

Greatest common factor (GCF) of 34290 and 34309 is 1.

GCF(34290,34309) = 1

We will now calculate the prime factors of 34290 and 34309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34290 and 34309.

How to find the GCF of 34290 and 34309?

We will first find the prime factorization of 34290 and 34309. After we will calculate the factors of 34290 and 34309 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34309

Prime factors of 34309 are 11, 3119. Prime factorization of 34309 in exponential form is:

34309 = 11¹ × 3119¹

Step-3: Factors of 34290

List of positive integer factors of 34290 that divides 34290 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

Step-4: Factors of 34309

List of positive integer factors of 34309 that divides 34290 without a remainder.

1, 11, 3119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34290 and 34309. The biggest common factor number is the GCF number.
So the greatest common factor 34290 and 34309 is 1.

Also check out the Least Common Multiple of 34290 and 34309