What is the Greatest Common Factor of 92916 and 92934?

Greatest common factor (GCF) of 92916 and 92934 is 18.

GCF(92916,92934) = 18

We will now calculate the prime factors of 92916 and 92934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92916 and 92934.

How to find the GCF of 92916 and 92934?

We will first find the prime factorization of 92916 and 92934. After we will calculate the factors of 92916 and 92934 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92934

Prime factors of 92934 are 2, 3, 1721. Prime factorization of 92934 in exponential form is:

92934 = 2¹ × 3³ × 1721¹

Step-3: Factors of 92916

List of positive integer factors of 92916 that divides 92916 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

Step-4: Factors of 92934

List of positive integer factors of 92934 that divides 92916 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1721, 3442, 5163, 10326, 15489, 30978, 46467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92916 and 92934. The biggest common factor number is the GCF number.
So the greatest common factor 92916 and 92934 is 18.

Also check out the Least Common Multiple of 92916 and 92934