What is the Greatest Common Factor of 83538 and 83553?

Greatest common factor (GCF) of 83538 and 83553 is 3.

GCF(83538,83553) = 3

We will now calculate the prime factors of 83538 and 83553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83538 and 83553.

How to find the GCF of 83538 and 83553?

We will first find the prime factorization of 83538 and 83553. After we will calculate the factors of 83538 and 83553 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 83553

Prime factors of 83553 are 3, 27851. Prime factorization of 83553 in exponential form is:

83553 = 3¹ × 27851¹

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 83553

List of positive integer factors of 83553 that divides 83538 without a remainder.

1, 3, 27851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83538 and 83553. The biggest common factor number is the GCF number.
So the greatest common factor 83538 and 83553 is 3.

Also check out the Least Common Multiple of 83538 and 83553