What is the Greatest Common Factor of 29775 and 29789?

Greatest common factor (GCF) of 29775 and 29789 is 1.

GCF(29775,29789) = 1

We will now calculate the prime factors of 29775 and 29789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29775 and 29789.

How to find the GCF of 29775 and 29789?

We will first find the prime factorization of 29775 and 29789. After we will calculate the factors of 29775 and 29789 and find the biggest common factor number .

Step-1: Prime Factorization of 29775

Prime factors of 29775 are 3, 5, 397. Prime factorization of 29775 in exponential form is:

29775 = 3¹ × 5² × 397¹

Step-2: Prime Factorization of 29789

Prime factors of 29789 are 29789. Prime factorization of 29789 in exponential form is:

29789 = 29789¹

Step-3: Factors of 29775

List of positive integer factors of 29775 that divides 29775 without a remainder.

1, 3, 5, 15, 25, 75, 397, 1191, 1985, 5955, 9925

Step-4: Factors of 29789

List of positive integer factors of 29789 that divides 29775 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29775 and 29789. The biggest common factor number is the GCF number.
So the greatest common factor 29775 and 29789 is 1.

Also check out the Least Common Multiple of 29775 and 29789