What is the Greatest Common Factor of 29144 and 29158?

Greatest common factor (GCF) of 29144 and 29158 is 2.

GCF(29144,29158) = 2

We will now calculate the prime factors of 29144 and 29158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29144 and 29158.

How to find the GCF of 29144 and 29158?

We will first find the prime factorization of 29144 and 29158. After we will calculate the factors of 29144 and 29158 and find the biggest common factor number .

Step-1: Prime Factorization of 29144

Prime factors of 29144 are 2, 3643. Prime factorization of 29144 in exponential form is:

29144 = 2³ × 3643¹

Step-2: Prime Factorization of 29158

Prime factors of 29158 are 2, 61, 239. Prime factorization of 29158 in exponential form is:

29158 = 2¹ × 61¹ × 239¹

Step-3: Factors of 29144

List of positive integer factors of 29144 that divides 29144 without a remainder.

1, 2, 4, 8, 3643, 7286, 14572

Step-4: Factors of 29158

List of positive integer factors of 29158 that divides 29144 without a remainder.

1, 2, 61, 122, 239, 478, 14579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29144 and 29158. The biggest common factor number is the GCF number.
So the greatest common factor 29144 and 29158 is 2.

Also check out the Least Common Multiple of 29144 and 29158