What is the Greatest Common Factor of 20058 and 20073?

Greatest common factor (GCF) of 20058 and 20073 is 3.

GCF(20058,20073) = 3

We will now calculate the prime factors of 20058 and 20073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20058 and 20073.

How to find the GCF of 20058 and 20073?

We will first find the prime factorization of 20058 and 20073. After we will calculate the factors of 20058 and 20073 and find the biggest common factor number .

Step-1: Prime Factorization of 20058

Prime factors of 20058 are 2, 3, 3343. Prime factorization of 20058 in exponential form is:

20058 = 2¹ × 3¹ × 3343¹

Step-2: Prime Factorization of 20073

Prime factors of 20073 are 3, 6691. Prime factorization of 20073 in exponential form is:

20073 = 3¹ × 6691¹

Step-3: Factors of 20058

List of positive integer factors of 20058 that divides 20058 without a remainder.

1, 2, 3, 6, 3343, 6686, 10029

Step-4: Factors of 20073

List of positive integer factors of 20073 that divides 20058 without a remainder.

1, 3, 6691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20058 and 20073. The biggest common factor number is the GCF number.
So the greatest common factor 20058 and 20073 is 3.

Also check out the Least Common Multiple of 20058 and 20073