What is the Greatest Common Factor of 83592 and 83610?

Greatest common factor (GCF) of 83592 and 83610 is 18.

GCF(83592,83610) = 18

We will now calculate the prime factors of 83592 and 83610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83592 and 83610.

How to find the GCF of 83592 and 83610?

We will first find the prime factorization of 83592 and 83610. After we will calculate the factors of 83592 and 83610 and find the biggest common factor number .

Step-1: Prime Factorization of 83592

Prime factors of 83592 are 2, 3, 43. Prime factorization of 83592 in exponential form is:

83592 = 2³ × 3⁵ × 43¹

Step-2: Prime Factorization of 83610

Prime factors of 83610 are 2, 3, 5, 929. Prime factorization of 83610 in exponential form is:

83610 = 2¹ × 3² × 5¹ × 929¹

Step-3: Factors of 83592

List of positive integer factors of 83592 that divides 83592 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 81, 86, 108, 129, 162, 172, 216, 243, 258, 324, 344, 387, 486, 516, 648, 774, 972, 1032, 1161, 1548, 1944, 2322, 3096, 3483, 4644, 6966, 9288, 10449, 13932, 20898, 27864, 41796

Step-4: Factors of 83610

List of positive integer factors of 83610 that divides 83592 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 929, 1858, 2787, 4645, 5574, 8361, 9290, 13935, 16722, 27870, 41805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83592 and 83610. The biggest common factor number is the GCF number.
So the greatest common factor 83592 and 83610 is 18.

Also check out the Least Common Multiple of 83592 and 83610