What is the Greatest Common Factor of 34878 and 34895?

Greatest common factor (GCF) of 34878 and 34895 is 1.

GCF(34878,34895) = 1

We will now calculate the prime factors of 34878 and 34895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34878 and 34895.

How to find the GCF of 34878 and 34895?

We will first find the prime factorization of 34878 and 34895. After we will calculate the factors of 34878 and 34895 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34895

Prime factors of 34895 are 5, 7, 997. Prime factorization of 34895 in exponential form is:

34895 = 5¹ × 7¹ × 997¹

Step-3: Factors of 34878

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

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

Step-4: Factors of 34895

List of positive integer factors of 34895 that divides 34878 without a remainder.

1, 5, 7, 35, 997, 4985, 6979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34878 and 34895. The biggest common factor number is the GCF number.
So the greatest common factor 34878 and 34895 is 1.

Also check out the Least Common Multiple of 34878 and 34895