What is the Greatest Common Factor of 29097 and 29110?

Greatest common factor (GCF) of 29097 and 29110 is 1.

GCF(29097,29110) = 1

We will now calculate the prime factors of 29097 and 29110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29097 and 29110.

How to find the GCF of 29097 and 29110?

We will first find the prime factorization of 29097 and 29110. After we will calculate the factors of 29097 and 29110 and find the biggest common factor number .

Step-1: Prime Factorization of 29097

Prime factors of 29097 are 3, 53, 61. Prime factorization of 29097 in exponential form is:

29097 = 3² × 53¹ × 61¹

Step-2: Prime Factorization of 29110

Prime factors of 29110 are 2, 5, 41, 71. Prime factorization of 29110 in exponential form is:

29110 = 2¹ × 5¹ × 41¹ × 71¹

Step-3: Factors of 29097

List of positive integer factors of 29097 that divides 29097 without a remainder.

1, 3, 9, 53, 61, 159, 183, 477, 549, 3233, 9699

Step-4: Factors of 29110

List of positive integer factors of 29110 that divides 29097 without a remainder.

1, 2, 5, 10, 41, 71, 82, 142, 205, 355, 410, 710, 2911, 5822, 14555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29097 and 29110. The biggest common factor number is the GCF number.
So the greatest common factor 29097 and 29110 is 1.

Also check out the Least Common Multiple of 29097 and 29110