What is the Greatest Common Factor of 83592 and 83604?

Greatest common factor (GCF) of 83592 and 83604 is 12.

GCF(83592,83604) = 12

We will now calculate the prime factors of 83592 and 83604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83592 and 83604.

How to find the GCF of 83592 and 83604?

We will first find the prime factorization of 83592 and 83604. After we will calculate the factors of 83592 and 83604 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 83604

Prime factors of 83604 are 2, 3, 6967. Prime factorization of 83604 in exponential form is:

83604 = 2² × 3¹ × 6967¹

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 83604

List of positive integer factors of 83604 that divides 83592 without a remainder.

1, 2, 3, 4, 6, 12, 6967, 13934, 20901, 27868, 41802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83592 and 83604. The biggest common factor number is the GCF number.
So the greatest common factor 83592 and 83604 is 12.

Also check out the Least Common Multiple of 83592 and 83604