What is the Greatest Common Factor of 2820 and 2830?

Greatest common factor (GCF) of 2820 and 2830 is 10.

GCF(2820,2830) = 10

We will now calculate the prime factors of 2820 and 2830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2820 and 2830.

How to find the GCF of 2820 and 2830?

We will first find the prime factorization of 2820 and 2830. After we will calculate the factors of 2820 and 2830 and find the biggest common factor number .

Step-1: Prime Factorization of 2820

Prime factors of 2820 are 2, 3, 5, 47. Prime factorization of 2820 in exponential form is:

2820 = 2² × 3¹ × 5¹ × 47¹

Step-2: Prime Factorization of 2830

Prime factors of 2830 are 2, 5, 283. Prime factorization of 2830 in exponential form is:

2830 = 2¹ × 5¹ × 283¹

Step-3: Factors of 2820

List of positive integer factors of 2820 that divides 2820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410

Step-4: Factors of 2830

List of positive integer factors of 2830 that divides 2820 without a remainder.

1, 2, 5, 10, 283, 566, 1415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2820 and 2830. The biggest common factor number is the GCF number.
So the greatest common factor 2820 and 2830 is 10.

Also check out the Least Common Multiple of 2820 and 2830