What is the Greatest Common Factor of 84578 and 84591?

Greatest common factor (GCF) of 84578 and 84591 is 13.

GCF(84578,84591) = 13

We will now calculate the prime factors of 84578 and 84591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84578 and 84591.

How to find the GCF of 84578 and 84591?

We will first find the prime factorization of 84578 and 84591. After we will calculate the factors of 84578 and 84591 and find the biggest common factor number .

Step-1: Prime Factorization of 84578

Prime factors of 84578 are 2, 13, 3253. Prime factorization of 84578 in exponential form is:

84578 = 2¹ × 13¹ × 3253¹

Step-2: Prime Factorization of 84591

Prime factors of 84591 are 3, 13, 241. Prime factorization of 84591 in exponential form is:

84591 = 3³ × 13¹ × 241¹

Step-3: Factors of 84578

List of positive integer factors of 84578 that divides 84578 without a remainder.

1, 2, 13, 26, 3253, 6506, 42289

Step-4: Factors of 84591

List of positive integer factors of 84591 that divides 84578 without a remainder.

1, 3, 9, 13, 27, 39, 117, 241, 351, 723, 2169, 3133, 6507, 9399, 28197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84578 and 84591. The biggest common factor number is the GCF number.
So the greatest common factor 84578 and 84591 is 13.

Also check out the Least Common Multiple of 84578 and 84591