What is the Greatest Common Factor of 83028 and 83038?

Greatest common factor (GCF) of 83028 and 83038 is 2.

GCF(83028,83038) = 2

We will now calculate the prime factors of 83028 and 83038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83028 and 83038.

How to find the GCF of 83028 and 83038?

We will first find the prime factorization of 83028 and 83038. After we will calculate the factors of 83028 and 83038 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 83038

Prime factors of 83038 are 2, 41519. Prime factorization of 83038 in exponential form is:

83038 = 2¹ × 41519¹

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 83038

List of positive integer factors of 83038 that divides 83028 without a remainder.

1, 2, 41519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83028 and 83038. The biggest common factor number is the GCF number.
So the greatest common factor 83028 and 83038 is 2.

Also check out the Least Common Multiple of 83028 and 83038