What is the Greatest Common Factor of 34053 and 34071?

Greatest common factor (GCF) of 34053 and 34071 is 3.

GCF(34053,34071) = 3

We will now calculate the prime factors of 34053 and 34071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34053 and 34071.

How to find the GCF of 34053 and 34071?

We will first find the prime factorization of 34053 and 34071. After we will calculate the factors of 34053 and 34071 and find the biggest common factor number .

Step-1: Prime Factorization of 34053

Prime factors of 34053 are 3, 11351. Prime factorization of 34053 in exponential form is:

34053 = 3¹ × 11351¹

Step-2: Prime Factorization of 34071

Prime factors of 34071 are 3, 41, 277. Prime factorization of 34071 in exponential form is:

34071 = 3¹ × 41¹ × 277¹

Step-3: Factors of 34053

List of positive integer factors of 34053 that divides 34053 without a remainder.

1, 3, 11351

Step-4: Factors of 34071

List of positive integer factors of 34071 that divides 34053 without a remainder.

1, 3, 41, 123, 277, 831, 11357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34053 and 34071. The biggest common factor number is the GCF number.
So the greatest common factor 34053 and 34071 is 3.

Also check out the Least Common Multiple of 34053 and 34071