What is the Greatest Common Factor of 2030 and 2040?

Greatest common factor (GCF) of 2030 and 2040 is 10.

GCF(2030,2040) = 10

We will now calculate the prime factors of 2030 and 2040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2030 and 2040.

How to find the GCF of 2030 and 2040?

We will first find the prime factorization of 2030 and 2040. After we will calculate the factors of 2030 and 2040 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 2040

Prime factors of 2040 are 2, 3, 5, 17. Prime factorization of 2040 in exponential form is:

2040 = 2³ × 3¹ × 5¹ × 17¹

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 2040

List of positive integer factors of 2040 that divides 2030 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2030 and 2040. The biggest common factor number is the GCF number.
So the greatest common factor 2030 and 2040 is 10.

Also check out the Least Common Multiple of 2030 and 2040