What is the Greatest Common Factor of 84305 and 84318?

Greatest common factor (GCF) of 84305 and 84318 is 13.

GCF(84305,84318) = 13

We will now calculate the prime factors of 84305 and 84318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84305 and 84318.

How to find the GCF of 84305 and 84318?

We will first find the prime factorization of 84305 and 84318. After we will calculate the factors of 84305 and 84318 and find the biggest common factor number .

Step-1: Prime Factorization of 84305

Prime factors of 84305 are 5, 13, 1297. Prime factorization of 84305 in exponential form is:

84305 = 5¹ × 13¹ × 1297¹

Step-2: Prime Factorization of 84318

Prime factors of 84318 are 2, 3, 13, 23, 47. Prime factorization of 84318 in exponential form is:

84318 = 2¹ × 3¹ × 13¹ × 23¹ × 47¹

Step-3: Factors of 84305

List of positive integer factors of 84305 that divides 84305 without a remainder.

1, 5, 13, 65, 1297, 6485, 16861

Step-4: Factors of 84318

List of positive integer factors of 84318 that divides 84305 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 47, 69, 78, 94, 138, 141, 282, 299, 598, 611, 897, 1081, 1222, 1794, 1833, 2162, 3243, 3666, 6486, 14053, 28106, 42159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84305 and 84318. The biggest common factor number is the GCF number.
So the greatest common factor 84305 and 84318 is 13.

Also check out the Least Common Multiple of 84305 and 84318