What is the Greatest Common Factor of 2030 and 2042?

Greatest common factor (GCF) of 2030 and 2042 is 2.

GCF(2030,2042) = 2

We will now calculate the prime factors of 2030 and 2042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2030 and 2042.

How to find the GCF of 2030 and 2042?

We will first find the prime factorization of 2030 and 2042. After we will calculate the factors of 2030 and 2042 and find the biggest common factor number .

Step-1: Prime Factorization of 2030

Prime factors of 2030 are 2, 5, 7, 29. Prime factorization of 2030 in exponential form is:

2030 = 2¹ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 2042

Prime factors of 2042 are 2, 1021. Prime factorization of 2042 in exponential form is:

2042 = 2¹ × 1021¹

Step-3: Factors of 2030

List of positive integer factors of 2030 that divides 2030 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015

Step-4: Factors of 2042

List of positive integer factors of 2042 that divides 2030 without a remainder.

1, 2, 1021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2030 and 2042. The biggest common factor number is the GCF number.
So the greatest common factor 2030 and 2042 is 2.

Also check out the Least Common Multiple of 2030 and 2042