What is the Greatest Common Factor of 29109 and 29118?

Greatest common factor (GCF) of 29109 and 29118 is 3.

GCF(29109,29118) = 3

We will now calculate the prime factors of 29109 and 29118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29109 and 29118.

How to find the GCF of 29109 and 29118?

We will first find the prime factorization of 29109 and 29118. After we will calculate the factors of 29109 and 29118 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29118

Prime factors of 29118 are 2, 3, 23, 211. Prime factorization of 29118 in exponential form is:

29118 = 2¹ × 3¹ × 23¹ × 211¹

Step-3: Factors of 29109

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

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

Step-4: Factors of 29118

List of positive integer factors of 29118 that divides 29109 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 211, 422, 633, 1266, 4853, 9706, 14559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29109 and 29118. The biggest common factor number is the GCF number.
So the greatest common factor 29109 and 29118 is 3.

Also check out the Least Common Multiple of 29109 and 29118