What is the Greatest Common Factor of 29116 and 29134?

Greatest common factor (GCF) of 29116 and 29134 is 2.

GCF(29116,29134) = 2

We will now calculate the prime factors of 29116 and 29134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29116 and 29134.

How to find the GCF of 29116 and 29134?

We will first find the prime factorization of 29116 and 29134. After we will calculate the factors of 29116 and 29134 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29134

Prime factors of 29134 are 2, 7, 2081. Prime factorization of 29134 in exponential form is:

29134 = 2¹ × 7¹ × 2081¹

Step-3: Factors of 29116

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

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

Step-4: Factors of 29134

List of positive integer factors of 29134 that divides 29116 without a remainder.

1, 2, 7, 14, 2081, 4162, 14567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29116 and 29134. The biggest common factor number is the GCF number.
So the greatest common factor 29116 and 29134 is 2.

Also check out the Least Common Multiple of 29116 and 29134