What is the Greatest Common Factor of 34277 and 34290?

Greatest common factor (GCF) of 34277 and 34290 is 1.

GCF(34277,34290) = 1

We will now calculate the prime factors of 34277 and 34290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34277 and 34290.

How to find the GCF of 34277 and 34290?

We will first find the prime factorization of 34277 and 34290. After we will calculate the factors of 34277 and 34290 and find the biggest common factor number .

Step-1: Prime Factorization of 34277

Prime factors of 34277 are 151, 227. Prime factorization of 34277 in exponential form is:

34277 = 151¹ × 227¹

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 34277

List of positive integer factors of 34277 that divides 34277 without a remainder.

1, 151, 227

Step-4: Factors of 34290

List of positive integer factors of 34290 that divides 34277 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 34277 and 34290. The biggest common factor number is the GCF number.
So the greatest common factor 34277 and 34290 is 1.

Also check out the Least Common Multiple of 34277 and 34290