What is the Greatest Common Factor of 29797 and 29805?

Greatest common factor (GCF) of 29797 and 29805 is 1.

GCF(29797,29805) = 1

We will now calculate the prime factors of 29797 and 29805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29797 and 29805.

How to find the GCF of 29797 and 29805?

We will first find the prime factorization of 29797 and 29805. After we will calculate the factors of 29797 and 29805 and find the biggest common factor number .

Step-1: Prime Factorization of 29797

Prime factors of 29797 are 83, 359. Prime factorization of 29797 in exponential form is:

29797 = 83¹ × 359¹

Step-2: Prime Factorization of 29805

Prime factors of 29805 are 3, 5, 1987. Prime factorization of 29805 in exponential form is:

29805 = 3¹ × 5¹ × 1987¹

Step-3: Factors of 29797

List of positive integer factors of 29797 that divides 29797 without a remainder.

1, 83, 359

Step-4: Factors of 29805

List of positive integer factors of 29805 that divides 29797 without a remainder.

1, 3, 5, 15, 1987, 5961, 9935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29797 and 29805. The biggest common factor number is the GCF number.
So the greatest common factor 29797 and 29805 is 1.

Also check out the Least Common Multiple of 29797 and 29805