What is the Greatest Common Factor of 34 and 43?

Greatest common factor (GCF) of 34 and 43 is 1.

GCF(34,43) = 1

We will now calculate the prime factors of 34 and 43, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34 and 43.

How to find the GCF of 34 and 43?

We will first find the prime factorization of 34 and 43. After we will calculate the factors of 34 and 43 and find the biggest common factor number .

Step-1: Prime Factorization of 34

Prime factors of 34 are 2, 17. Prime factorization of 34 in exponential form is:

34 = 2¹ × 17¹

Step-2: Prime Factorization of 43

Prime factors of 43 are 43. Prime factorization of 43 in exponential form is:

43 = 43¹

Step-3: Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1, 2, 17

Step-4: Factors of 43

List of positive integer factors of 43 that divides 34 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34 and 43. The biggest common factor number is the GCF number.
So the greatest common factor 34 and 43 is 1.

Also check out the Least Common Multiple of 34 and 43