What is the Greatest Common Factor of 83248 and 83259?

Greatest common factor (GCF) of 83248 and 83259 is 11.

GCF(83248,83259) = 11

We will now calculate the prime factors of 83248 and 83259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83248 and 83259.

How to find the GCF of 83248 and 83259?

We will first find the prime factorization of 83248 and 83259. After we will calculate the factors of 83248 and 83259 and find the biggest common factor number .

Step-1: Prime Factorization of 83248

Prime factors of 83248 are 2, 11, 43. Prime factorization of 83248 in exponential form is:

83248 = 2⁴ × 11² × 43¹

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 83248

List of positive integer factors of 83248 that divides 83248 without a remainder.

1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 121, 172, 176, 242, 344, 473, 484, 688, 946, 968, 1892, 1936, 3784, 5203, 7568, 10406, 20812, 41624

Step-4: Factors of 83259

List of positive integer factors of 83259 that divides 83248 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 83248 and 83259. The biggest common factor number is the GCF number.
So the greatest common factor 83248 and 83259 is 11.

Also check out the Least Common Multiple of 83248 and 83259