What is the Greatest Common Factor of 83577 and 83592?

Greatest common factor (GCF) of 83577 and 83592 is 3.

GCF(83577,83592) = 3

We will now calculate the prime factors of 83577 and 83592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83577 and 83592.

How to find the GCF of 83577 and 83592?

We will first find the prime factorization of 83577 and 83592. After we will calculate the factors of 83577 and 83592 and find the biggest common factor number .

Step-1: Prime Factorization of 83577

Prime factors of 83577 are 3, 13, 2143. Prime factorization of 83577 in exponential form is:

83577 = 3¹ × 13¹ × 2143¹

Step-2: 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-3: Factors of 83577

List of positive integer factors of 83577 that divides 83577 without a remainder.

1, 3, 13, 39, 2143, 6429, 27859

Step-4: Factors of 83592

List of positive integer factors of 83592 that divides 83577 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83577 and 83592. The biggest common factor number is the GCF number.
So the greatest common factor 83577 and 83592 is 3.

Also check out the Least Common Multiple of 83577 and 83592