What is the Greatest Common Factor of 2058 and 2073?

Greatest common factor (GCF) of 2058 and 2073 is 3.

GCF(2058,2073) = 3

We will now calculate the prime factors of 2058 and 2073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2058 and 2073.

How to find the GCF of 2058 and 2073?

We will first find the prime factorization of 2058 and 2073. After we will calculate the factors of 2058 and 2073 and find the biggest common factor number .

Step-1: Prime Factorization of 2058

Prime factors of 2058 are 2, 3, 7. Prime factorization of 2058 in exponential form is:

2058 = 2¹ × 3¹ × 7³

Step-2: Prime Factorization of 2073

Prime factors of 2073 are 3, 691. Prime factorization of 2073 in exponential form is:

2073 = 3¹ × 691¹

Step-3: Factors of 2058

List of positive integer factors of 2058 that divides 2058 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029

Step-4: Factors of 2073

List of positive integer factors of 2073 that divides 2058 without a remainder.

1, 3, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2058 and 2073. The biggest common factor number is the GCF number.
So the greatest common factor 2058 and 2073 is 3.

Also check out the Least Common Multiple of 2058 and 2073