What is the Greatest Common Factor of 83244 and 83259?

Greatest common factor (GCF) of 83244 and 83259 is 3.

GCF(83244,83259) = 3

We will now calculate the prime factors of 83244 and 83259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83244 and 83259.

How to find the GCF of 83244 and 83259?

We will first find the prime factorization of 83244 and 83259. After we will calculate the factors of 83244 and 83259 and find the biggest common factor number .

Step-1: Prime Factorization of 83244

Prime factors of 83244 are 2, 3, 7, 991. Prime factorization of 83244 in exponential form is:

83244 = 2² × 3¹ × 7¹ × 991¹

Step-2: Prime Factorization of 83259

Prime factors of 83259 are 3, 11, 29. Prime factorization of 83259 in exponential form is:

83259 = 3² × 11¹ × 29²

Step-3: Factors of 83244

List of positive integer factors of 83244 that divides 83244 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 991, 1982, 2973, 3964, 5946, 6937, 11892, 13874, 20811, 27748, 41622

Step-4: Factors of 83259

List of positive integer factors of 83259 that divides 83244 without a remainder.

1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 841, 957, 2523, 2871, 7569, 9251, 27753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83244 and 83259. The biggest common factor number is the GCF number.
So the greatest common factor 83244 and 83259 is 3.

Also check out the Least Common Multiple of 83244 and 83259