What is the Greatest Common Factor of 29058 and 29073?

Greatest common factor (GCF) of 29058 and 29073 is 3.

GCF(29058,29073) = 3

We will now calculate the prime factors of 29058 and 29073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29058 and 29073.

How to find the GCF of 29058 and 29073?

We will first find the prime factorization of 29058 and 29073. After we will calculate the factors of 29058 and 29073 and find the biggest common factor number .

Step-1: Prime Factorization of 29058

Prime factors of 29058 are 2, 3, 29, 167. Prime factorization of 29058 in exponential form is:

29058 = 2¹ × 3¹ × 29¹ × 167¹

Step-2: Prime Factorization of 29073

Prime factors of 29073 are 3, 11, 881. Prime factorization of 29073 in exponential form is:

29073 = 3¹ × 11¹ × 881¹

Step-3: Factors of 29058

List of positive integer factors of 29058 that divides 29058 without a remainder.

1, 2, 3, 6, 29, 58, 87, 167, 174, 334, 501, 1002, 4843, 9686, 14529

Step-4: Factors of 29073

List of positive integer factors of 29073 that divides 29058 without a remainder.

1, 3, 11, 33, 881, 2643, 9691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29058 and 29073. The biggest common factor number is the GCF number.
So the greatest common factor 29058 and 29073 is 3.

Also check out the Least Common Multiple of 29058 and 29073