What is the Greatest Common Factor of 96174 and 96179?

Greatest common factor (GCF) of 96174 and 96179 is 1.

GCF(96174,96179) = 1

We will now calculate the prime factors of 96174 and 96179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96174 and 96179.

How to find the GCF of 96174 and 96179?

We will first find the prime factorization of 96174 and 96179. After we will calculate the factors of 96174 and 96179 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 96179

Prime factors of 96179 are 96179. Prime factorization of 96179 in exponential form is:

96179 = 96179¹

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 96179

List of positive integer factors of 96179 that divides 96174 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96174 and 96179. The biggest common factor number is the GCF number.
So the greatest common factor 96174 and 96179 is 1.

Also check out the Least Common Multiple of 96174 and 96179