What is the Greatest Common Factor of 29144 and 29152?

Greatest common factor (GCF) of 29144 and 29152 is 8.

GCF(29144,29152) = 8

We will now calculate the prime factors of 29144 and 29152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29144 and 29152.

How to find the GCF of 29144 and 29152?

We will first find the prime factorization of 29144 and 29152. After we will calculate the factors of 29144 and 29152 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 29152

Prime factors of 29152 are 2, 911. Prime factorization of 29152 in exponential form is:

29152 = 2⁵ × 911¹

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 29152

List of positive integer factors of 29152 that divides 29144 without a remainder.

1, 2, 4, 8, 16, 32, 911, 1822, 3644, 7288, 14576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29144 and 29152. The biggest common factor number is the GCF number.
So the greatest common factor 29144 and 29152 is 8.

Also check out the Least Common Multiple of 29144 and 29152