What is the Greatest Common Factor of 2814 and 2833?

Greatest common factor (GCF) of 2814 and 2833 is 1.

GCF(2814,2833) = 1

We will now calculate the prime factors of 2814 and 2833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2814 and 2833.

How to find the GCF of 2814 and 2833?

We will first find the prime factorization of 2814 and 2833. After we will calculate the factors of 2814 and 2833 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 2833

Prime factors of 2833 are 2833. Prime factorization of 2833 in exponential form is:

2833 = 2833¹

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 2833

List of positive integer factors of 2833 that divides 2814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2814 and 2833. The biggest common factor number is the GCF number.
So the greatest common factor 2814 and 2833 is 1.

Also check out the Least Common Multiple of 2814 and 2833