What is the Greatest Common Factor of 2814 and 2820?

Greatest common factor (GCF) of 2814 and 2820 is 6.

GCF(2814,2820) = 6

We will now calculate the prime factors of 2814 and 2820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2814 and 2820.

How to find the GCF of 2814 and 2820?

We will first find the prime factorization of 2814 and 2820. After we will calculate the factors of 2814 and 2820 and find the biggest common factor number .

Step-1: Prime Factorization of 2814

Prime factors of 2814 are 2, 3, 7, 67. Prime factorization of 2814 in exponential form is:

2814 = 2¹ × 3¹ × 7¹ × 67¹

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 2814

List of positive integer factors of 2814 that divides 2814 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407

Step-4: Factors of 2820

List of positive integer factors of 2820 that divides 2814 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 2814 and 2820. The biggest common factor number is the GCF number.
So the greatest common factor 2814 and 2820 is 6.

Also check out the Least Common Multiple of 2814 and 2820