What is the Greatest Common Factor of 7833 and 7844?

Greatest common factor (GCF) of 7833 and 7844 is 1.

GCF(7833,7844) = 1

We will now calculate the prime factors of 7833 and 7844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7833 and 7844.

How to find the GCF of 7833 and 7844?

We will first find the prime factorization of 7833 and 7844. After we will calculate the factors of 7833 and 7844 and find the biggest common factor number .

Step-1: Prime Factorization of 7833

Prime factors of 7833 are 3, 7, 373. Prime factorization of 7833 in exponential form is:

7833 = 3¹ × 7¹ × 373¹

Step-2: Prime Factorization of 7844

Prime factors of 7844 are 2, 37, 53. Prime factorization of 7844 in exponential form is:

7844 = 2² × 37¹ × 53¹

Step-3: Factors of 7833

List of positive integer factors of 7833 that divides 7833 without a remainder.

1, 3, 7, 21, 373, 1119, 2611

Step-4: Factors of 7844

List of positive integer factors of 7844 that divides 7833 without a remainder.

1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7833 and 7844. The biggest common factor number is the GCF number.
So the greatest common factor 7833 and 7844 is 1.

Also check out the Least Common Multiple of 7833 and 7844