What is the Greatest Common Factor of 7821 and 7832?

Greatest common factor (GCF) of 7821 and 7832 is 11.

GCF(7821,7832) = 11

We will now calculate the prime factors of 7821 and 7832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7821 and 7832.

How to find the GCF of 7821 and 7832?

We will first find the prime factorization of 7821 and 7832. After we will calculate the factors of 7821 and 7832 and find the biggest common factor number .

Step-1: Prime Factorization of 7821

Prime factors of 7821 are 3, 11, 79. Prime factorization of 7821 in exponential form is:

7821 = 3² × 11¹ × 79¹

Step-2: Prime Factorization of 7832

Prime factors of 7832 are 2, 11, 89. Prime factorization of 7832 in exponential form is:

7832 = 2³ × 11¹ × 89¹

Step-3: Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607

Step-4: Factors of 7832

List of positive integer factors of 7832 that divides 7821 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7821 and 7832. The biggest common factor number is the GCF number.
So the greatest common factor 7821 and 7832 is 11.

Also check out the Least Common Multiple of 7821 and 7832