What is the Greatest Common Factor of 29005 and 29024?

Greatest common factor (GCF) of 29005 and 29024 is 1.

GCF(29005,29024) = 1

We will now calculate the prime factors of 29005 and 29024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29005 and 29024.

How to find the GCF of 29005 and 29024?

We will first find the prime factorization of 29005 and 29024. After we will calculate the factors of 29005 and 29024 and find the biggest common factor number .

Step-1: Prime Factorization of 29005

Prime factors of 29005 are 5, 5801. Prime factorization of 29005 in exponential form is:

29005 = 5¹ × 5801¹

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 29005

List of positive integer factors of 29005 that divides 29005 without a remainder.

1, 5, 5801

Step-4: Factors of 29024

List of positive integer factors of 29024 that divides 29005 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 29005 and 29024. The biggest common factor number is the GCF number.
So the greatest common factor 29005 and 29024 is 1.

Also check out the Least Common Multiple of 29005 and 29024