What is the Greatest Common Factor of 83543 and 83562?

Greatest common factor (GCF) of 83543 and 83562 is 19.

GCF(83543,83562) = 19

We will now calculate the prime factors of 83543 and 83562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83543 and 83562.

How to find the GCF of 83543 and 83562?

We will first find the prime factorization of 83543 and 83562. After we will calculate the factors of 83543 and 83562 and find the biggest common factor number .

Step-1: Prime Factorization of 83543

Prime factors of 83543 are 19, 4397. Prime factorization of 83543 in exponential form is:

83543 = 19¹ × 4397¹

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 83543

List of positive integer factors of 83543 that divides 83543 without a remainder.

1, 19, 4397

Step-4: Factors of 83562

List of positive integer factors of 83562 that divides 83543 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 83543 and 83562. The biggest common factor number is the GCF number.
So the greatest common factor 83543 and 83562 is 19.

Also check out the Least Common Multiple of 83543 and 83562