What is the Greatest Common Factor of 29098 and 29110?

Greatest common factor (GCF) of 29098 and 29110 is 2.

GCF(29098,29110) = 2

We will now calculate the prime factors of 29098 and 29110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29098 and 29110.

How to find the GCF of 29098 and 29110?

We will first find the prime factorization of 29098 and 29110. After we will calculate the factors of 29098 and 29110 and find the biggest common factor number .

Step-1: Prime Factorization of 29098

Prime factors of 29098 are 2, 14549. Prime factorization of 29098 in exponential form is:

29098 = 2¹ × 14549¹

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 29098

List of positive integer factors of 29098 that divides 29098 without a remainder.

1, 2, 14549

Step-4: Factors of 29110

List of positive integer factors of 29110 that divides 29098 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 29098 and 29110. The biggest common factor number is the GCF number.
So the greatest common factor 29098 and 29110 is 2.

Also check out the Least Common Multiple of 29098 and 29110