What is the Greatest Common Factor of 34133 and 34143?

Greatest common factor (GCF) of 34133 and 34143 is 1.

GCF(34133,34143) = 1

We will now calculate the prime factors of 34133 and 34143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34133 and 34143.

How to find the GCF of 34133 and 34143?

We will first find the prime factorization of 34133 and 34143. After we will calculate the factors of 34133 and 34143 and find the biggest common factor number .

Step-1: Prime Factorization of 34133

Prime factors of 34133 are 11, 29, 107. Prime factorization of 34133 in exponential form is:

34133 = 11¹ × 29¹ × 107¹

Step-2: Prime Factorization of 34143

Prime factors of 34143 are 3, 19, 599. Prime factorization of 34143 in exponential form is:

34143 = 3¹ × 19¹ × 599¹

Step-3: Factors of 34133

List of positive integer factors of 34133 that divides 34133 without a remainder.

1, 11, 29, 107, 319, 1177, 3103

Step-4: Factors of 34143

List of positive integer factors of 34143 that divides 34133 without a remainder.

1, 3, 19, 57, 599, 1797, 11381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34133 and 34143. The biggest common factor number is the GCF number.
So the greatest common factor 34133 and 34143 is 1.

Also check out the Least Common Multiple of 34133 and 34143