What is the Greatest Common Factor of 96174 and 96193?

Greatest common factor (GCF) of 96174 and 96193 is 1.

GCF(96174,96193) = 1

We will now calculate the prime factors of 96174 and 96193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96174 and 96193.

How to find the GCF of 96174 and 96193?

We will first find the prime factorization of 96174 and 96193. After we will calculate the factors of 96174 and 96193 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 96193

Prime factors of 96193 are 29, 31, 107. Prime factorization of 96193 in exponential form is:

96193 = 29¹ × 31¹ × 107¹

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 96193

List of positive integer factors of 96193 that divides 96174 without a remainder.

1, 29, 31, 107, 899, 3103, 3317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96174 and 96193. The biggest common factor number is the GCF number.
So the greatest common factor 96174 and 96193 is 1.

Also check out the Least Common Multiple of 96174 and 96193