What is the Greatest Common Factor of 28990 and 29005?

Greatest common factor (GCF) of 28990 and 29005 is 5.

GCF(28990,29005) = 5

We will now calculate the prime factors of 28990 and 29005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28990 and 29005.

How to find the GCF of 28990 and 29005?

We will first find the prime factorization of 28990 and 29005. After we will calculate the factors of 28990 and 29005 and find the biggest common factor number .

Step-1: Prime Factorization of 28990

Prime factors of 28990 are 2, 5, 13, 223. Prime factorization of 28990 in exponential form is:

28990 = 2¹ × 5¹ × 13¹ × 223¹

Step-2: Prime Factorization of 29005

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

29005 = 5¹ × 5801¹

Step-3: Factors of 28990

List of positive integer factors of 28990 that divides 28990 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 223, 446, 1115, 2230, 2899, 5798, 14495

Step-4: Factors of 29005

List of positive integer factors of 29005 that divides 28990 without a remainder.

1, 5, 5801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28990 and 29005. The biggest common factor number is the GCF number.
So the greatest common factor 28990 and 29005 is 5.

Also check out the Least Common Multiple of 28990 and 29005