What is the Greatest Common Factor of 92470 and 92484?

Greatest common factor (GCF) of 92470 and 92484 is 14.

GCF(92470,92484) = 14

We will now calculate the prime factors of 92470 and 92484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92470 and 92484.

How to find the GCF of 92470 and 92484?

We will first find the prime factorization of 92470 and 92484. After we will calculate the factors of 92470 and 92484 and find the biggest common factor number .

Step-1: Prime Factorization of 92470

Prime factors of 92470 are 2, 5, 7, 1321. Prime factorization of 92470 in exponential form is:

92470 = 2¹ × 5¹ × 7¹ × 1321¹

Step-2: 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-3: Factors of 92470

List of positive integer factors of 92470 that divides 92470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1321, 2642, 6605, 9247, 13210, 18494, 46235

Step-4: Factors of 92484

List of positive integer factors of 92484 that divides 92470 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92470 and 92484. The biggest common factor number is the GCF number.
So the greatest common factor 92470 and 92484 is 14.

Also check out the Least Common Multiple of 92470 and 92484