What is the Greatest Common Factor of 34929 and 34941?

Greatest common factor (GCF) of 34929 and 34941 is 3.

GCF(34929,34941) = 3

We will now calculate the prime factors of 34929 and 34941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34929 and 34941.

How to find the GCF of 34929 and 34941?

We will first find the prime factorization of 34929 and 34941. After we will calculate the factors of 34929 and 34941 and find the biggest common factor number .

Step-1: Prime Factorization of 34929

Prime factors of 34929 are 3, 3881. Prime factorization of 34929 in exponential form is:

34929 = 3² × 3881¹

Step-2: Prime Factorization of 34941

Prime factors of 34941 are 3, 19, 613. Prime factorization of 34941 in exponential form is:

34941 = 3¹ × 19¹ × 613¹

Step-3: Factors of 34929

List of positive integer factors of 34929 that divides 34929 without a remainder.

1, 3, 9, 3881, 11643

Step-4: Factors of 34941

List of positive integer factors of 34941 that divides 34929 without a remainder.

1, 3, 19, 57, 613, 1839, 11647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34929 and 34941. The biggest common factor number is the GCF number.
So the greatest common factor 34929 and 34941 is 3.

Also check out the Least Common Multiple of 34929 and 34941