What is the Greatest Common Factor of 29024 and 29039?

Greatest common factor (GCF) of 29024 and 29039 is 1.

GCF(29024,29039) = 1

We will now calculate the prime factors of 29024 and 29039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29024 and 29039.

How to find the GCF of 29024 and 29039?

We will first find the prime factorization of 29024 and 29039. After we will calculate the factors of 29024 and 29039 and find the biggest common factor number .

Step-1: Prime Factorization of 29024

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

29024 = 2⁵ × 907¹

Step-2: Prime Factorization of 29039

Prime factors of 29039 are 71, 409. Prime factorization of 29039 in exponential form is:

29039 = 71¹ × 409¹

Step-3: Factors of 29024

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

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

Step-4: Factors of 29039

List of positive integer factors of 29039 that divides 29024 without a remainder.

1, 71, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29024 and 29039. The biggest common factor number is the GCF number.
So the greatest common factor 29024 and 29039 is 1.

Also check out the Least Common Multiple of 29024 and 29039