What is the Greatest Common Factor of 29297 and 29309?

Greatest common factor (GCF) of 29297 and 29309 is 1.

GCF(29297,29309) = 1

We will now calculate the prime factors of 29297 and 29309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29297 and 29309.

How to find the GCF of 29297 and 29309?

We will first find the prime factorization of 29297 and 29309. After we will calculate the factors of 29297 and 29309 and find the biggest common factor number .

Step-1: Prime Factorization of 29297

Prime factors of 29297 are 29297. Prime factorization of 29297 in exponential form is:

29297 = 29297¹

Step-2: Prime Factorization of 29309

Prime factors of 29309 are 7, 53, 79. Prime factorization of 29309 in exponential form is:

29309 = 7¹ × 53¹ × 79¹

Step-3: Factors of 29297

List of positive integer factors of 29297 that divides 29297 without a remainder.

Step-4: Factors of 29309

List of positive integer factors of 29309 that divides 29297 without a remainder.

1, 7, 53, 79, 371, 553, 4187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29297 and 29309. The biggest common factor number is the GCF number.
So the greatest common factor 29297 and 29309 is 1.

Also check out the Least Common Multiple of 29297 and 29309