What is the Greatest Common Factor of 83028 and 83039?

Greatest common factor (GCF) of 83028 and 83039 is 11.

GCF(83028,83039) = 11

We will now calculate the prime factors of 83028 and 83039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83028 and 83039.

How to find the GCF of 83028 and 83039?

We will first find the prime factorization of 83028 and 83039. After we will calculate the factors of 83028 and 83039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83039

Prime factors of 83039 are 11, 7549. Prime factorization of 83039 in exponential form is:

83039 = 11¹ × 7549¹

Step-3: Factors of 83028

List of positive integer factors of 83028 that divides 83028 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

Step-4: Factors of 83039

List of positive integer factors of 83039 that divides 83028 without a remainder.

1, 11, 7549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83028 and 83039. The biggest common factor number is the GCF number.
So the greatest common factor 83028 and 83039 is 11.

Also check out the Least Common Multiple of 83028 and 83039