What is the Greatest Common Factor of 84592 and 84609?

Greatest common factor (GCF) of 84592 and 84609 is 17.

GCF(84592,84609) = 17

We will now calculate the prime factors of 84592 and 84609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84592 and 84609.

How to find the GCF of 84592 and 84609?

We will first find the prime factorization of 84592 and 84609. After we will calculate the factors of 84592 and 84609 and find the biggest common factor number .

Step-1: Prime Factorization of 84592

Prime factors of 84592 are 2, 17, 311. Prime factorization of 84592 in exponential form is:

84592 = 2⁴ × 17¹ × 311¹

Step-2: Prime Factorization of 84609

Prime factors of 84609 are 3, 7, 17, 79. Prime factorization of 84609 in exponential form is:

84609 = 3² × 7¹ × 17¹ × 79¹

Step-3: Factors of 84592

List of positive integer factors of 84592 that divides 84592 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 311, 622, 1244, 2488, 4976, 5287, 10574, 21148, 42296

Step-4: Factors of 84609

List of positive integer factors of 84609 that divides 84592 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 79, 119, 153, 237, 357, 553, 711, 1071, 1343, 1659, 4029, 4977, 9401, 12087, 28203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84592 and 84609. The biggest common factor number is the GCF number.
So the greatest common factor 84592 and 84609 is 17.

Also check out the Least Common Multiple of 84592 and 84609