What is the Greatest Common Factor of 34929 and 34938?

Greatest common factor (GCF) of 34929 and 34938 is 9.

GCF(34929,34938) = 9

We will now calculate the prime factors of 34929 and 34938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34929 and 34938.

How to find the GCF of 34929 and 34938?

We will first find the prime factorization of 34929 and 34938. After we will calculate the factors of 34929 and 34938 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 34938

Prime factors of 34938 are 2, 3, 647. Prime factorization of 34938 in exponential form is:

34938 = 2¹ × 3³ × 647¹

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 34938

List of positive integer factors of 34938 that divides 34929 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 647, 1294, 1941, 3882, 5823, 11646, 17469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34929 and 34938. The biggest common factor number is the GCF number.
So the greatest common factor 34929 and 34938 is 9.

Also check out the Least Common Multiple of 34929 and 34938