What is the Greatest Common Factor of 7 and 34?

Greatest common factor (GCF) of 7 and 34 is 1.

GCF(7,34) = 1

We will now calculate the prime factors of 7 and 34, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7 and 34.

How to find the GCF of 7 and 34?

We will first find the prime factorization of 7 and 34. After we will calculate the factors of 7 and 34 and find the biggest common factor number .

Step-1: Prime Factorization of 7

Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:

7 = 7¹

Step-2: Prime Factorization of 34

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

34 = 2¹ × 17¹

Step-3: Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

Step-4: Factors of 34

List of positive integer factors of 34 that divides 7 without a remainder.

1, 2, 17

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7 and 34. The biggest common factor number is the GCF number.
So the greatest common factor 7 and 34 is 1.

Also check out the Least Common Multiple of 7 and 34