What is the Greatest Common Factor of 29559 and 29579?

Greatest common factor (GCF) of 29559 and 29579 is 1.

GCF(29559,29579) = 1

We will now calculate the prime factors of 29559 and 29579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29559 and 29579.

How to find the GCF of 29559 and 29579?

We will first find the prime factorization of 29559 and 29579. After we will calculate the factors of 29559 and 29579 and find the biggest common factor number .

Step-1: Prime Factorization of 29559

Prime factors of 29559 are 3, 59, 167. Prime factorization of 29559 in exponential form is:

29559 = 3¹ × 59¹ × 167¹

Step-2: Prime Factorization of 29579

Prime factors of 29579 are 11, 2689. Prime factorization of 29579 in exponential form is:

29579 = 11¹ × 2689¹

Step-3: Factors of 29559

List of positive integer factors of 29559 that divides 29559 without a remainder.

1, 3, 59, 167, 177, 501, 9853

Step-4: Factors of 29579

List of positive integer factors of 29579 that divides 29559 without a remainder.

1, 11, 2689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29559 and 29579. The biggest common factor number is the GCF number.
So the greatest common factor 29559 and 29579 is 1.

Also check out the Least Common Multiple of 29559 and 29579