What is the Greatest Common Factor of 2058 and 2078?

Greatest common factor (GCF) of 2058 and 2078 is 2.

GCF(2058,2078) = 2

We will now calculate the prime factors of 2058 and 2078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2058 and 2078.

How to find the GCF of 2058 and 2078?

We will first find the prime factorization of 2058 and 2078. After we will calculate the factors of 2058 and 2078 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 2078

Prime factors of 2078 are 2, 1039. Prime factorization of 2078 in exponential form is:

2078 = 2¹ × 1039¹

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 2078

List of positive integer factors of 2078 that divides 2058 without a remainder.

1, 2, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2058 and 2078. The biggest common factor number is the GCF number.
So the greatest common factor 2058 and 2078 is 2.

Also check out the Least Common Multiple of 2058 and 2078