What is the Greatest Common Factor of 29709 and 29713?

Greatest common factor (GCF) of 29709 and 29713 is 1.

GCF(29709,29713) = 1

We will now calculate the prime factors of 29709 and 29713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29709 and 29713.

How to find the GCF of 29709 and 29713?

We will first find the prime factorization of 29709 and 29713. After we will calculate the factors of 29709 and 29713 and find the biggest common factor number .

Step-1: Prime Factorization of 29709

Prime factors of 29709 are 3, 3301. Prime factorization of 29709 in exponential form is:

29709 = 3² × 3301¹

Step-2: Prime Factorization of 29713

Prime factors of 29713 are 43, 691. Prime factorization of 29713 in exponential form is:

29713 = 43¹ × 691¹

Step-3: Factors of 29709

List of positive integer factors of 29709 that divides 29709 without a remainder.

1, 3, 9, 3301, 9903

Step-4: Factors of 29713

List of positive integer factors of 29713 that divides 29709 without a remainder.

1, 43, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29709 and 29713. The biggest common factor number is the GCF number.
So the greatest common factor 29709 and 29713 is 1.

Also check out the Least Common Multiple of 29709 and 29713