What is the Greatest Common Factor of 29136 and 29149?

Greatest common factor (GCF) of 29136 and 29149 is 1.

GCF(29136,29149) = 1

We will now calculate the prime factors of 29136 and 29149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29136 and 29149.

How to find the GCF of 29136 and 29149?

We will first find the prime factorization of 29136 and 29149. After we will calculate the factors of 29136 and 29149 and find the biggest common factor number .

Step-1: Prime Factorization of 29136

Prime factors of 29136 are 2, 3, 607. Prime factorization of 29136 in exponential form is:

29136 = 2⁴ × 3¹ × 607¹

Step-2: Prime Factorization of 29149

Prime factors of 29149 are 103, 283. Prime factorization of 29149 in exponential form is:

29149 = 103¹ × 283¹

Step-3: Factors of 29136

List of positive integer factors of 29136 that divides 29136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 607, 1214, 1821, 2428, 3642, 4856, 7284, 9712, 14568

Step-4: Factors of 29149

List of positive integer factors of 29149 that divides 29136 without a remainder.

1, 103, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29136 and 29149. The biggest common factor number is the GCF number.
So the greatest common factor 29136 and 29149 is 1.

Also check out the Least Common Multiple of 29136 and 29149