What is the Greatest Common Factor of 34869 and 34878?

Greatest common factor (GCF) of 34869 and 34878 is 3.

GCF(34869,34878) = 3

We will now calculate the prime factors of 34869 and 34878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34869 and 34878.

How to find the GCF of 34869 and 34878?

We will first find the prime factorization of 34869 and 34878. After we will calculate the factors of 34869 and 34878 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34878

Prime factors of 34878 are 2, 3, 5813. Prime factorization of 34878 in exponential form is:

34878 = 2¹ × 3¹ × 5813¹

Step-3: Factors of 34869

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

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

Step-4: Factors of 34878

List of positive integer factors of 34878 that divides 34869 without a remainder.

1, 2, 3, 6, 5813, 11626, 17439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34869 and 34878. The biggest common factor number is the GCF number.
So the greatest common factor 34869 and 34878 is 3.

Also check out the Least Common Multiple of 34869 and 34878