What is the Greatest Common Factor of 34938 and 34955?

Greatest common factor (GCF) of 34938 and 34955 is 1.

GCF(34938,34955) = 1

We will now calculate the prime factors of 34938 and 34955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34938 and 34955.

How to find the GCF of 34938 and 34955?

We will first find the prime factorization of 34938 and 34955. After we will calculate the factors of 34938 and 34955 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34955

Prime factors of 34955 are 5, 6991. Prime factorization of 34955 in exponential form is:

34955 = 5¹ × 6991¹

Step-3: Factors of 34938

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

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

Step-4: Factors of 34955

List of positive integer factors of 34955 that divides 34938 without a remainder.

1, 5, 6991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34938 and 34955. The biggest common factor number is the GCF number.
So the greatest common factor 34938 and 34955 is 1.

Also check out the Least Common Multiple of 34938 and 34955