What is the Greatest Common Factor of 83898 and 83916?

Greatest common factor (GCF) of 83898 and 83916 is 18.

GCF(83898,83916) = 18

We will now calculate the prime factors of 83898 and 83916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83898 and 83916.

How to find the GCF of 83898 and 83916?

We will first find the prime factorization of 83898 and 83916. After we will calculate the factors of 83898 and 83916 and find the biggest common factor number .

Step-1: Prime Factorization of 83898

Prime factors of 83898 are 2, 3, 59, 79. Prime factorization of 83898 in exponential form is:

83898 = 2¹ × 3² × 59¹ × 79¹

Step-2: Prime Factorization of 83916

Prime factors of 83916 are 2, 3, 7, 37. Prime factorization of 83916 in exponential form is:

83916 = 2² × 3⁴ × 7¹ × 37¹

Step-3: Factors of 83898

List of positive integer factors of 83898 that divides 83898 without a remainder.

1, 2, 3, 6, 9, 18, 59, 79, 118, 158, 177, 237, 354, 474, 531, 711, 1062, 1422, 4661, 9322, 13983, 27966, 41949

Step-4: Factors of 83916

List of positive integer factors of 83916 that divides 83898 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 37, 42, 54, 63, 74, 81, 84, 108, 111, 126, 148, 162, 189, 222, 252, 259, 324, 333, 378, 444, 518, 567, 666, 756, 777, 999, 1036, 1134, 1332, 1554, 1998, 2268, 2331, 2997, 3108, 3996, 4662, 5994, 6993, 9324, 11988, 13986, 20979, 27972, 41958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83898 and 83916. The biggest common factor number is the GCF number.
So the greatest common factor 83898 and 83916 is 18.

Also check out the Least Common Multiple of 83898 and 83916