What is the Greatest Common Factor of 34270 and 34277?

Greatest common factor (GCF) of 34270 and 34277 is 1.

GCF(34270,34277) = 1

We will now calculate the prime factors of 34270 and 34277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34270 and 34277.

How to find the GCF of 34270 and 34277?

We will first find the prime factorization of 34270 and 34277. After we will calculate the factors of 34270 and 34277 and find the biggest common factor number .

Step-1: Prime Factorization of 34270

Prime factors of 34270 are 2, 5, 23, 149. Prime factorization of 34270 in exponential form is:

34270 = 2¹ × 5¹ × 23¹ × 149¹

Step-2: Prime Factorization of 34277

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

34277 = 151¹ × 227¹

Step-3: Factors of 34270

List of positive integer factors of 34270 that divides 34270 without a remainder.

1, 2, 5, 10, 23, 46, 115, 149, 230, 298, 745, 1490, 3427, 6854, 17135

Step-4: Factors of 34277

List of positive integer factors of 34277 that divides 34270 without a remainder.

1, 151, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34270 and 34277. The biggest common factor number is the GCF number.
So the greatest common factor 34270 and 34277 is 1.

Also check out the Least Common Multiple of 34270 and 34277