What is the Greatest Common Factor of 34876 and 34894?

Greatest common factor (GCF) of 34876 and 34894 is 2.

GCF(34876,34894) = 2

We will now calculate the prime factors of 34876 and 34894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34876 and 34894.

How to find the GCF of 34876 and 34894?

We will first find the prime factorization of 34876 and 34894. After we will calculate the factors of 34876 and 34894 and find the biggest common factor number .

Step-1: Prime Factorization of 34876

Prime factors of 34876 are 2, 8719. Prime factorization of 34876 in exponential form is:

34876 = 2² × 8719¹

Step-2: Prime Factorization of 34894

Prime factors of 34894 are 2, 73, 239. Prime factorization of 34894 in exponential form is:

34894 = 2¹ × 73¹ × 239¹

Step-3: Factors of 34876

List of positive integer factors of 34876 that divides 34876 without a remainder.

1, 2, 4, 8719, 17438

Step-4: Factors of 34894

List of positive integer factors of 34894 that divides 34876 without a remainder.

1, 2, 73, 146, 239, 478, 17447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34876 and 34894. The biggest common factor number is the GCF number.
So the greatest common factor 34876 and 34894 is 2.

Also check out the Least Common Multiple of 34876 and 34894