What is the Greatest Common Factor of 2130 and 2138?

Greatest common factor (GCF) of 2130 and 2138 is 2.

GCF(2130,2138) = 2

We will now calculate the prime factors of 2130 and 2138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2130 and 2138.

How to find the GCF of 2130 and 2138?

We will first find the prime factorization of 2130 and 2138. After we will calculate the factors of 2130 and 2138 and find the biggest common factor number .

Step-1: Prime Factorization of 2130

Prime factors of 2130 are 2, 3, 5, 71. Prime factorization of 2130 in exponential form is:

2130 = 2¹ × 3¹ × 5¹ × 71¹

Step-2: Prime Factorization of 2138

Prime factors of 2138 are 2, 1069. Prime factorization of 2138 in exponential form is:

2138 = 2¹ × 1069¹

Step-3: Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065

Step-4: Factors of 2138

List of positive integer factors of 2138 that divides 2130 without a remainder.

1, 2, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2130 and 2138. The biggest common factor number is the GCF number.
So the greatest common factor 2130 and 2138 is 2.

Also check out the Least Common Multiple of 2130 and 2138