What is the Greatest Common Factor of 34858 and 34869?

Greatest common factor (GCF) of 34858 and 34869 is 1.

GCF(34858,34869) = 1

We will now calculate the prime factors of 34858 and 34869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34858 and 34869.

How to find the GCF of 34858 and 34869?

We will first find the prime factorization of 34858 and 34869. After we will calculate the factors of 34858 and 34869 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 34869

Prime factors of 34869 are 3, 59, 197. Prime factorization of 34869 in exponential form is:

34869 = 3¹ × 59¹ × 197¹

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 34869

List of positive integer factors of 34869 that divides 34858 without a remainder.

1, 3, 59, 177, 197, 591, 11623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34858 and 34869. The biggest common factor number is the GCF number.
So the greatest common factor 34858 and 34869 is 1.

Also check out the Least Common Multiple of 34858 and 34869