What is the Greatest Common Factor of 82914 and 82923?

Greatest common factor (GCF) of 82914 and 82923 is 3.

GCF(82914,82923) = 3

We will now calculate the prime factors of 82914 and 82923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82914 and 82923.

How to find the GCF of 82914 and 82923?

We will first find the prime factorization of 82914 and 82923. After we will calculate the factors of 82914 and 82923 and find the biggest common factor number .

Step-1: Prime Factorization of 82914

Prime factors of 82914 are 2, 3, 13, 1063. Prime factorization of 82914 in exponential form is:

82914 = 2¹ × 3¹ × 13¹ × 1063¹

Step-2: Prime Factorization of 82923

Prime factors of 82923 are 3, 131, 211. Prime factorization of 82923 in exponential form is:

82923 = 3¹ × 131¹ × 211¹

Step-3: Factors of 82914

List of positive integer factors of 82914 that divides 82914 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1063, 2126, 3189, 6378, 13819, 27638, 41457

Step-4: Factors of 82923

List of positive integer factors of 82923 that divides 82914 without a remainder.

1, 3, 131, 211, 393, 633, 27641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82914 and 82923. The biggest common factor number is the GCF number.
So the greatest common factor 82914 and 82923 is 3.

Also check out the Least Common Multiple of 82914 and 82923