What is the Greatest Common Factor of 83538 and 83556?

Greatest common factor (GCF) of 83538 and 83556 is 18.

GCF(83538,83556) = 18

We will now calculate the prime factors of 83538 and 83556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83538 and 83556.

How to find the GCF of 83538 and 83556?

We will first find the prime factorization of 83538 and 83556. After we will calculate the factors of 83538 and 83556 and find the biggest common factor number .

Step-1: Prime Factorization of 83538

Prime factors of 83538 are 2, 3, 7, 13, 17. Prime factorization of 83538 in exponential form is:

83538 = 2¹ × 3³ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 83556

Prime factors of 83556 are 2, 3, 11, 211. Prime factorization of 83556 in exponential form is:

83556 = 2² × 3² × 11¹ × 211¹

Step-3: Factors of 83538

List of positive integer factors of 83538 that divides 83538 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 17, 18, 21, 26, 27, 34, 39, 42, 51, 54, 63, 78, 91, 102, 117, 119, 126, 153, 182, 189, 221, 234, 238, 273, 306, 351, 357, 378, 442, 459, 546, 663, 702, 714, 819, 918, 1071, 1326, 1547, 1638, 1989, 2142, 2457, 3094, 3213, 3978, 4641, 4914, 5967, 6426, 9282, 11934, 13923, 27846, 41769

Step-4: Factors of 83556

List of positive integer factors of 83556 that divides 83538 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 211, 396, 422, 633, 844, 1266, 1899, 2321, 2532, 3798, 4642, 6963, 7596, 9284, 13926, 20889, 27852, 41778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83538 and 83556. The biggest common factor number is the GCF number.
So the greatest common factor 83538 and 83556 is 18.

Also check out the Least Common Multiple of 83538 and 83556