What is the Greatest Common Factor of 29509 and 29529?

Greatest common factor (GCF) of 29509 and 29529 is 1.

GCF(29509,29529) = 1

We will now calculate the prime factors of 29509 and 29529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29509 and 29529.

How to find the GCF of 29509 and 29529?

We will first find the prime factorization of 29509 and 29529. After we will calculate the factors of 29509 and 29529 and find the biggest common factor number .

Step-1: Prime Factorization of 29509

Prime factors of 29509 are 23, 1283. Prime factorization of 29509 in exponential form is:

29509 = 23¹ × 1283¹

Step-2: Prime Factorization of 29529

Prime factors of 29529 are 3, 17, 193. Prime factorization of 29529 in exponential form is:

29529 = 3² × 17¹ × 193¹

Step-3: Factors of 29509

List of positive integer factors of 29509 that divides 29509 without a remainder.

1, 23, 1283

Step-4: Factors of 29529

List of positive integer factors of 29529 that divides 29509 without a remainder.

1, 3, 9, 17, 51, 153, 193, 579, 1737, 3281, 9843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29509 and 29529. The biggest common factor number is the GCF number.
So the greatest common factor 29509 and 29529 is 1.

Also check out the Least Common Multiple of 29509 and 29529