What is the Greatest Common Factor of 83814 and 83823?

Greatest common factor (GCF) of 83814 and 83823 is 3.

GCF(83814,83823) = 3

We will now calculate the prime factors of 83814 and 83823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83814 and 83823.

How to find the GCF of 83814 and 83823?

We will first find the prime factorization of 83814 and 83823. After we will calculate the factors of 83814 and 83823 and find the biggest common factor number .

Step-1: Prime Factorization of 83814

Prime factors of 83814 are 2, 3, 61, 229. Prime factorization of 83814 in exponential form is:

83814 = 2¹ × 3¹ × 61¹ × 229¹

Step-2: Prime Factorization of 83823

Prime factors of 83823 are 3, 27941. Prime factorization of 83823 in exponential form is:

83823 = 3¹ × 27941¹

Step-3: Factors of 83814

List of positive integer factors of 83814 that divides 83814 without a remainder.

1, 2, 3, 6, 61, 122, 183, 229, 366, 458, 687, 1374, 13969, 27938, 41907

Step-4: Factors of 83823

List of positive integer factors of 83823 that divides 83814 without a remainder.

1, 3, 27941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83814 and 83823. The biggest common factor number is the GCF number.
So the greatest common factor 83814 and 83823 is 3.

Also check out the Least Common Multiple of 83814 and 83823