What is the Greatest Common Factor of 29089 and 29109?

Greatest common factor (GCF) of 29089 and 29109 is 1.

GCF(29089,29109) = 1

We will now calculate the prime factors of 29089 and 29109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29089 and 29109.

How to find the GCF of 29089 and 29109?

We will first find the prime factorization of 29089 and 29109. After we will calculate the factors of 29089 and 29109 and find the biggest common factor number .

Step-1: Prime Factorization of 29089

Prime factors of 29089 are 19, 1531. Prime factorization of 29089 in exponential form is:

29089 = 19¹ × 1531¹

Step-2: Prime Factorization of 29109

Prime factors of 29109 are 3, 31, 313. Prime factorization of 29109 in exponential form is:

29109 = 3¹ × 31¹ × 313¹

Step-3: Factors of 29089

List of positive integer factors of 29089 that divides 29089 without a remainder.

1, 19, 1531

Step-4: Factors of 29109

List of positive integer factors of 29109 that divides 29089 without a remainder.

1, 3, 31, 93, 313, 939, 9703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29089 and 29109. The biggest common factor number is the GCF number.
So the greatest common factor 29089 and 29109 is 1.

Also check out the Least Common Multiple of 29089 and 29109