What is the Greatest Common Factor of 83548 and 83556?

Greatest common factor (GCF) of 83548 and 83556 is 4.

GCF(83548,83556) = 4

We will now calculate the prime factors of 83548 and 83556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83548 and 83556.

How to find the GCF of 83548 and 83556?

We will first find the prime factorization of 83548 and 83556. After we will calculate the factors of 83548 and 83556 and find the biggest common factor number .

Step-1: Prime Factorization of 83548

Prime factors of 83548 are 2, 20887. Prime factorization of 83548 in exponential form is:

83548 = 2² × 20887¹

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 83548

List of positive integer factors of 83548 that divides 83548 without a remainder.

1, 2, 4, 20887, 41774

Step-4: Factors of 83556

List of positive integer factors of 83556 that divides 83548 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 83548 and 83556. The biggest common factor number is the GCF number.
So the greatest common factor 83548 and 83556 is 4.

Also check out the Least Common Multiple of 83548 and 83556