What is the Greatest Common Factor of 29 and 7?

Greatest common factor (GCF) of 29 and 7 is 1.

GCF(29,7) = 1

We will now calculate the prime factors of 29 and 7, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29 and 7.

How to find the GCF of 29 and 7?

We will first find the prime factorization of 29 and 7. After we will calculate the factors of 29 and 7 and find the biggest common factor number .

Step-1: Prime Factorization of 29

Prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 29¹

Step-2: Prime Factorization of 7

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

7 = 7¹

Step-3: Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

Step-4: Factors of 7

List of positive integer factors of 7 that divides 29 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29 and 7. The biggest common factor number is the GCF number.
So the greatest common factor 29 and 7 is 1.

Also check out the Least Common Multiple of 29 and 7