What is the Greatest Common Factor of 92484 and 92491?

Greatest common factor (GCF) of 92484 and 92491 is 7.

GCF(92484,92491) = 7

We will now calculate the prime factors of 92484 and 92491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92484 and 92491.

How to find the GCF of 92484 and 92491?

We will first find the prime factorization of 92484 and 92491. After we will calculate the factors of 92484 and 92491 and find the biggest common factor number .

Step-1: Prime Factorization of 92484

Prime factors of 92484 are 2, 3, 7, 367. Prime factorization of 92484 in exponential form is:

92484 = 2² × 3² × 7¹ × 367¹

Step-2: Prime Factorization of 92491

Prime factors of 92491 are 7, 73, 181. Prime factorization of 92491 in exponential form is:

92491 = 7¹ × 73¹ × 181¹

Step-3: Factors of 92484

List of positive integer factors of 92484 that divides 92484 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 367, 734, 1101, 1468, 2202, 2569, 3303, 4404, 5138, 6606, 7707, 10276, 13212, 15414, 23121, 30828, 46242

Step-4: Factors of 92491

List of positive integer factors of 92491 that divides 92484 without a remainder.

1, 7, 73, 181, 511, 1267, 13213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92484 and 92491. The biggest common factor number is the GCF number.
So the greatest common factor 92484 and 92491 is 7.

Also check out the Least Common Multiple of 92484 and 92491