What is the Greatest Common Factor of 83019 and 83028?

Greatest common factor (GCF) of 83019 and 83028 is 3.

GCF(83019,83028) = 3

We will now calculate the prime factors of 83019 and 83028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83019 and 83028.

How to find the GCF of 83019 and 83028?

We will first find the prime factorization of 83019 and 83028. After we will calculate the factors of 83019 and 83028 and find the biggest common factor number .

Step-1: Prime Factorization of 83019

Prime factors of 83019 are 3, 27673. Prime factorization of 83019 in exponential form is:

83019 = 3¹ × 27673¹

Step-2: Prime Factorization of 83028

Prime factors of 83028 are 2, 3, 11, 17, 37. Prime factorization of 83028 in exponential form is:

83028 = 2² × 3¹ × 11¹ × 17¹ × 37¹

Step-3: Factors of 83019

List of positive integer factors of 83019 that divides 83019 without a remainder.

1, 3, 27673

Step-4: Factors of 83028

List of positive integer factors of 83028 that divides 83019 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 37, 44, 51, 66, 68, 74, 102, 111, 132, 148, 187, 204, 222, 374, 407, 444, 561, 629, 748, 814, 1122, 1221, 1258, 1628, 1887, 2244, 2442, 2516, 3774, 4884, 6919, 7548, 13838, 20757, 27676, 41514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83019 and 83028. The biggest common factor number is the GCF number.
So the greatest common factor 83019 and 83028 is 3.

Also check out the Least Common Multiple of 83019 and 83028