What is the Greatest Common Factor of 92916 and 92929?

Greatest common factor (GCF) of 92916 and 92929 is 1.

GCF(92916,92929) = 1

We will now calculate the prime factors of 92916 and 92929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92916 and 92929.

How to find the GCF of 92916 and 92929?

We will first find the prime factorization of 92916 and 92929. After we will calculate the factors of 92916 and 92929 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 92929

Prime factors of 92929 are 19, 67, 73. Prime factorization of 92929 in exponential form is:

92929 = 19¹ × 67¹ × 73¹

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 92929

List of positive integer factors of 92929 that divides 92916 without a remainder.

1, 19, 67, 73, 1273, 1387, 4891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92916 and 92929. The biggest common factor number is the GCF number.
So the greatest common factor 92916 and 92929 is 1.

Also check out the Least Common Multiple of 92916 and 92929