What is the Greatest Common Factor of 83916 and 83931?

Greatest common factor (GCF) of 83916 and 83931 is 3.

GCF(83916,83931) = 3

We will now calculate the prime factors of 83916 and 83931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83916 and 83931.

How to find the GCF of 83916 and 83931?

We will first find the prime factorization of 83916 and 83931. After we will calculate the factors of 83916 and 83931 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83931

Prime factors of 83931 are 3, 101, 277. Prime factorization of 83931 in exponential form is:

83931 = 3¹ × 101¹ × 277¹

Step-3: Factors of 83916

List of positive integer factors of 83916 that divides 83916 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

Step-4: Factors of 83931

List of positive integer factors of 83931 that divides 83916 without a remainder.

1, 3, 101, 277, 303, 831, 27977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83916 and 83931. The biggest common factor number is the GCF number.
So the greatest common factor 83916 and 83931 is 3.

Also check out the Least Common Multiple of 83916 and 83931