What is the Greatest Common Factor of 83809 and 83828?

Greatest common factor (GCF) of 83809 and 83828 is 19.

GCF(83809,83828) = 19

We will now calculate the prime factors of 83809 and 83828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83809 and 83828.

How to find the GCF of 83809 and 83828?

We will first find the prime factorization of 83809 and 83828. After we will calculate the factors of 83809 and 83828 and find the biggest common factor number .

Step-1: Prime Factorization of 83809

Prime factors of 83809 are 11, 19, 401. Prime factorization of 83809 in exponential form is:

83809 = 11¹ × 19¹ × 401¹

Step-2: Prime Factorization of 83828

Prime factors of 83828 are 2, 19, 1103. Prime factorization of 83828 in exponential form is:

83828 = 2² × 19¹ × 1103¹

Step-3: Factors of 83809

List of positive integer factors of 83809 that divides 83809 without a remainder.

1, 11, 19, 209, 401, 4411, 7619

Step-4: Factors of 83828

List of positive integer factors of 83828 that divides 83809 without a remainder.

1, 2, 4, 19, 38, 76, 1103, 2206, 4412, 20957, 41914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83809 and 83828. The biggest common factor number is the GCF number.
So the greatest common factor 83809 and 83828 is 19.

Also check out the Least Common Multiple of 83809 and 83828