What is the Greatest Common Factor of 29098 and 29116?

Greatest common factor (GCF) of 29098 and 29116 is 2.

GCF(29098,29116) = 2

We will now calculate the prime factors of 29098 and 29116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29098 and 29116.

How to find the GCF of 29098 and 29116?

We will first find the prime factorization of 29098 and 29116. After we will calculate the factors of 29098 and 29116 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 29116

Prime factors of 29116 are 2, 29, 251. Prime factorization of 29116 in exponential form is:

29116 = 2² × 29¹ × 251¹

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 29116

List of positive integer factors of 29116 that divides 29098 without a remainder.

1, 2, 4, 29, 58, 116, 251, 502, 1004, 7279, 14558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29098 and 29116. The biggest common factor number is the GCF number.
So the greatest common factor 29098 and 29116 is 2.

Also check out the Least Common Multiple of 29098 and 29116