What is the Greatest Common Factor of 2810 and 2820?

Greatest common factor (GCF) of 2810 and 2820 is 10.

GCF(2810,2820) = 10

We will now calculate the prime factors of 2810 and 2820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2810 and 2820.

How to find the GCF of 2810 and 2820?

We will first find the prime factorization of 2810 and 2820. After we will calculate the factors of 2810 and 2820 and find the biggest common factor number .

Step-1: Prime Factorization of 2810

Prime factors of 2810 are 2, 5, 281. Prime factorization of 2810 in exponential form is:

2810 = 2¹ × 5¹ × 281¹

Step-2: 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-3: Factors of 2810

List of positive integer factors of 2810 that divides 2810 without a remainder.

1, 2, 5, 10, 281, 562, 1405

Step-4: Factors of 2820

List of positive integer factors of 2820 that divides 2810 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2810 and 2820. The biggest common factor number is the GCF number.
So the greatest common factor 2810 and 2820 is 10.

Also check out the Least Common Multiple of 2810 and 2820