What is the Greatest Common Factor of 92907 and 92916?

Greatest common factor (GCF) of 92907 and 92916 is 9.

GCF(92907,92916) = 9

We will now calculate the prime factors of 92907 and 92916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92907 and 92916.

How to find the GCF of 92907 and 92916?

We will first find the prime factorization of 92907 and 92916. After we will calculate the factors of 92907 and 92916 and find the biggest common factor number .

Step-1: Prime Factorization of 92907

Prime factors of 92907 are 3, 31, 37. Prime factorization of 92907 in exponential form is:

92907 = 3⁴ × 31¹ × 37¹

Step-2: Prime Factorization of 92916

Prime factors of 92916 are 2, 3, 29, 89. Prime factorization of 92916 in exponential form is:

92916 = 2² × 3² × 29¹ × 89¹

Step-3: Factors of 92907

List of positive integer factors of 92907 that divides 92907 without a remainder.

1, 3, 9, 27, 31, 37, 81, 93, 111, 279, 333, 837, 999, 1147, 2511, 2997, 3441, 10323, 30969

Step-4: Factors of 92916

List of positive integer factors of 92916 that divides 92907 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 89, 116, 174, 178, 261, 267, 348, 356, 522, 534, 801, 1044, 1068, 1602, 2581, 3204, 5162, 7743, 10324, 15486, 23229, 30972, 46458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92907 and 92916. The biggest common factor number is the GCF number.
So the greatest common factor 92907 and 92916 is 9.

Also check out the Least Common Multiple of 92907 and 92916