What is the Greatest Common Factor of 96174 and 96180?

Greatest common factor (GCF) of 96174 and 96180 is 6.

GCF(96174,96180) = 6

We will now calculate the prime factors of 96174 and 96180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96174 and 96180.

How to find the GCF of 96174 and 96180?

We will first find the prime factorization of 96174 and 96180. After we will calculate the factors of 96174 and 96180 and find the biggest common factor number .

Step-1: Prime Factorization of 96174

Prime factors of 96174 are 2, 3, 13, 137. Prime factorization of 96174 in exponential form is:

96174 = 2¹ × 3³ × 13¹ × 137¹

Step-2: Prime Factorization of 96180

Prime factors of 96180 are 2, 3, 5, 7, 229. Prime factorization of 96180 in exponential form is:

96180 = 2² × 3¹ × 5¹ × 7¹ × 229¹

Step-3: Factors of 96174

List of positive integer factors of 96174 that divides 96174 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 137, 234, 274, 351, 411, 702, 822, 1233, 1781, 2466, 3562, 3699, 5343, 7398, 10686, 16029, 32058, 48087

Step-4: Factors of 96180

List of positive integer factors of 96180 that divides 96174 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 229, 420, 458, 687, 916, 1145, 1374, 1603, 2290, 2748, 3206, 3435, 4580, 4809, 6412, 6870, 8015, 9618, 13740, 16030, 19236, 24045, 32060, 48090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96174 and 96180. The biggest common factor number is the GCF number.
So the greatest common factor 96174 and 96180 is 6.

Also check out the Least Common Multiple of 96174 and 96180