What is the Greatest Common Factor of 82905 and 82914?

Greatest common factor (GCF) of 82905 and 82914 is 3.

GCF(82905,82914) = 3

We will now calculate the prime factors of 82905 and 82914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82905 and 82914.

How to find the GCF of 82905 and 82914?

We will first find the prime factorization of 82905 and 82914. After we will calculate the factors of 82905 and 82914 and find the biggest common factor number .

Step-1: Prime Factorization of 82905

Prime factors of 82905 are 3, 5, 5527. Prime factorization of 82905 in exponential form is:

82905 = 3¹ × 5¹ × 5527¹

Step-2: 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-3: Factors of 82905

List of positive integer factors of 82905 that divides 82905 without a remainder.

1, 3, 5, 15, 5527, 16581, 27635

Step-4: Factors of 82914

List of positive integer factors of 82914 that divides 82905 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82905 and 82914. The biggest common factor number is the GCF number.
So the greatest common factor 82905 and 82914 is 3.

Also check out the Least Common Multiple of 82905 and 82914