What is the Greatest Common Factor of 34858 and 34871?

Greatest common factor (GCF) of 34858 and 34871 is 1.

GCF(34858,34871) = 1

We will now calculate the prime factors of 34858 and 34871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34858 and 34871.

How to find the GCF of 34858 and 34871?

We will first find the prime factorization of 34858 and 34871. After we will calculate the factors of 34858 and 34871 and find the biggest common factor number .

Step-1: Prime Factorization of 34858

Prime factors of 34858 are 2, 29, 601. Prime factorization of 34858 in exponential form is:

34858 = 2¹ × 29¹ × 601¹

Step-2: Prime Factorization of 34871

Prime factors of 34871 are 34871. Prime factorization of 34871 in exponential form is:

34871 = 34871¹

Step-3: Factors of 34858

List of positive integer factors of 34858 that divides 34858 without a remainder.

1, 2, 29, 58, 601, 1202, 17429

Step-4: Factors of 34871

List of positive integer factors of 34871 that divides 34858 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34858 and 34871. The biggest common factor number is the GCF number.
So the greatest common factor 34858 and 34871 is 1.

Also check out the Least Common Multiple of 34858 and 34871