What is the Greatest Common Factor of 83553 and 83562?

Greatest common factor (GCF) of 83553 and 83562 is 3.

GCF(83553,83562) = 3

We will now calculate the prime factors of 83553 and 83562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83553 and 83562.

How to find the GCF of 83553 and 83562?

We will first find the prime factorization of 83553 and 83562. After we will calculate the factors of 83553 and 83562 and find the biggest common factor number .

Step-1: Prime Factorization of 83553

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

83553 = 3¹ × 27851¹

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 83553

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

1, 3, 27851

Step-4: Factors of 83562

List of positive integer factors of 83562 that divides 83553 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 83553 and 83562. The biggest common factor number is the GCF number.
So the greatest common factor 83553 and 83562 is 3.

Also check out the Least Common Multiple of 83553 and 83562