What is the Greatest Common Factor of 83556 and 83562?

Greatest common factor (GCF) of 83556 and 83562 is 6.

GCF(83556,83562) = 6

We will now calculate the prime factors of 83556 and 83562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83556 and 83562.

How to find the GCF of 83556 and 83562?

We will first find the prime factorization of 83556 and 83562. After we will calculate the factors of 83556 and 83562 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83562

Prime factors of 83562 are 2, 3, 19, 733. Prime factorization of 83562 in exponential form is:

83562 = 2¹ × 3¹ × 19¹ × 733¹

Step-3: Factors of 83556

List of positive integer factors of 83556 that divides 83556 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

Step-4: Factors of 83562

List of positive integer factors of 83562 that divides 83556 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 733, 1466, 2199, 4398, 13927, 27854, 41781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83556 and 83562. The biggest common factor number is the GCF number.
So the greatest common factor 83556 and 83562 is 6.

Also check out the Least Common Multiple of 83556 and 83562