What is the Greatest Common Factor of 29130 and 29144?

Greatest common factor (GCF) of 29130 and 29144 is 2.

GCF(29130,29144) = 2

We will now calculate the prime factors of 29130 and 29144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29130 and 29144.

How to find the GCF of 29130 and 29144?

We will first find the prime factorization of 29130 and 29144. After we will calculate the factors of 29130 and 29144 and find the biggest common factor number .

Step-1: Prime Factorization of 29130

Prime factors of 29130 are 2, 3, 5, 971. Prime factorization of 29130 in exponential form is:

29130 = 2¹ × 3¹ × 5¹ × 971¹

Step-2: Prime Factorization of 29144

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

29144 = 2³ × 3643¹

Step-3: Factors of 29130

List of positive integer factors of 29130 that divides 29130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 971, 1942, 2913, 4855, 5826, 9710, 14565

Step-4: Factors of 29144

List of positive integer factors of 29144 that divides 29130 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29130 and 29144. The biggest common factor number is the GCF number.
So the greatest common factor 29130 and 29144 is 2.

Also check out the Least Common Multiple of 29130 and 29144