What is the Greatest Common Factor of 28971 and 28990?

Greatest common factor (GCF) of 28971 and 28990 is 1.

GCF(28971,28990) = 1

We will now calculate the prime factors of 28971 and 28990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28971 and 28990.

How to find the GCF of 28971 and 28990?

We will first find the prime factorization of 28971 and 28990. After we will calculate the factors of 28971 and 28990 and find the biggest common factor number .

Step-1: Prime Factorization of 28971

Prime factors of 28971 are 3, 29, 37. Prime factorization of 28971 in exponential form is:

28971 = 3³ × 29¹ × 37¹

Step-2: 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-3: Factors of 28971

List of positive integer factors of 28971 that divides 28971 without a remainder.

1, 3, 9, 27, 29, 37, 87, 111, 261, 333, 783, 999, 1073, 3219, 9657

Step-4: Factors of 28990

List of positive integer factors of 28990 that divides 28971 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28971 and 28990. The biggest common factor number is the GCF number.
So the greatest common factor 28971 and 28990 is 1.

Also check out the Least Common Multiple of 28971 and 28990