What is the Greatest Common Factor of 3000 and 3020?

Greatest common factor (GCF) of 3000 and 3020 is 20.

GCF(3000,3020) = 20

We will now calculate the prime factors of 3000 and 3020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3000 and 3020.

How to find the GCF of 3000 and 3020?

We will first find the prime factorization of 3000 and 3020. After we will calculate the factors of 3000 and 3020 and find the biggest common factor number .

Step-1: Prime Factorization of 3000

Prime factors of 3000 are 2, 3, 5. Prime factorization of 3000 in exponential form is:

3000 = 2³ × 3¹ × 5³

Step-2: Prime Factorization of 3020

Prime factors of 3020 are 2, 5, 151. Prime factorization of 3020 in exponential form is:

3020 = 2² × 5¹ × 151¹

Step-3: Factors of 3000

List of positive integer factors of 3000 that divides 3000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500

Step-4: Factors of 3020

List of positive integer factors of 3020 that divides 3000 without a remainder.

1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3000 and 3020. The biggest common factor number is the GCF number.
So the greatest common factor 3000 and 3020 is 20.

Also check out the Least Common Multiple of 3000 and 3020