What is the Greatest Common Factor of 2020 and 2030?

Greatest common factor (GCF) of 2020 and 2030 is 10.

GCF(2020,2030) = 10

We will now calculate the prime factors of 2020 and 2030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2020 and 2030.

How to find the GCF of 2020 and 2030?

We will first find the prime factorization of 2020 and 2030. After we will calculate the factors of 2020 and 2030 and find the biggest common factor number .

Step-1: Prime Factorization of 2020

Prime factors of 2020 are 2, 5, 101. Prime factorization of 2020 in exponential form is:

2020 = 2² × 5¹ × 101¹

Step-2: 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-3: Factors of 2020

List of positive integer factors of 2020 that divides 2020 without a remainder.

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010

Step-4: Factors of 2030

List of positive integer factors of 2030 that divides 2020 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2020 and 2030. The biggest common factor number is the GCF number.
So the greatest common factor 2020 and 2030 is 10.

Also check out the Least Common Multiple of 2020 and 2030