What is the Greatest Common Factor of 29010 and 29024?

Greatest common factor (GCF) of 29010 and 29024 is 2.

GCF(29010,29024) = 2

We will now calculate the prime factors of 29010 and 29024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29010 and 29024.

How to find the GCF of 29010 and 29024?

We will first find the prime factorization of 29010 and 29024. After we will calculate the factors of 29010 and 29024 and find the biggest common factor number .

Step-1: Prime Factorization of 29010

Prime factors of 29010 are 2, 3, 5, 967. Prime factorization of 29010 in exponential form is:

29010 = 2¹ × 3¹ × 5¹ × 967¹

Step-2: Prime Factorization of 29024

Prime factors of 29024 are 2, 907. Prime factorization of 29024 in exponential form is:

29024 = 2⁵ × 907¹

Step-3: Factors of 29010

List of positive integer factors of 29010 that divides 29010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 967, 1934, 2901, 4835, 5802, 9670, 14505

Step-4: Factors of 29024

List of positive integer factors of 29024 that divides 29010 without a remainder.

1, 2, 4, 8, 16, 32, 907, 1814, 3628, 7256, 14512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29010 and 29024. The biggest common factor number is the GCF number.
So the greatest common factor 29010 and 29024 is 2.

Also check out the Least Common Multiple of 29010 and 29024