What is the Greatest Common Factor of 83592 and 83601?

Greatest common factor (GCF) of 83592 and 83601 is 9.

GCF(83592,83601) = 9

We will now calculate the prime factors of 83592 and 83601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83592 and 83601.

How to find the GCF of 83592 and 83601?

We will first find the prime factorization of 83592 and 83601. After we will calculate the factors of 83592 and 83601 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 83601

Prime factors of 83601 are 3, 7, 1327. Prime factorization of 83601 in exponential form is:

83601 = 3² × 7¹ × 1327¹

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 83601

List of positive integer factors of 83601 that divides 83592 without a remainder.

1, 3, 7, 9, 21, 63, 1327, 3981, 9289, 11943, 27867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83592 and 83601. The biggest common factor number is the GCF number.
So the greatest common factor 83592 and 83601 is 9.

Also check out the Least Common Multiple of 83592 and 83601