What is the Greatest Common Factor of 48174 and 48189?

Greatest common factor (GCF) of 48174 and 48189 is 3.

GCF(48174,48189) = 3

We will now calculate the prime factors of 48174 and 48189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48174 and 48189.

How to find the GCF of 48174 and 48189?

We will first find the prime factorization of 48174 and 48189. After we will calculate the factors of 48174 and 48189 and find the biggest common factor number .

Step-1: Prime Factorization of 48174

Prime factors of 48174 are 2, 3, 7, 31, 37. Prime factorization of 48174 in exponential form is:

48174 = 2¹ × 3¹ × 7¹ × 31¹ × 37¹

Step-2: Prime Factorization of 48189

Prime factors of 48189 are 3, 16063. Prime factorization of 48189 in exponential form is:

48189 = 3¹ × 16063¹

Step-3: Factors of 48174

List of positive integer factors of 48174 that divides 48174 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 37, 42, 62, 74, 93, 111, 186, 217, 222, 259, 434, 518, 651, 777, 1147, 1302, 1554, 2294, 3441, 6882, 8029, 16058, 24087

Step-4: Factors of 48189

List of positive integer factors of 48189 that divides 48174 without a remainder.

1, 3, 16063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48174 and 48189. The biggest common factor number is the GCF number.
So the greatest common factor 48174 and 48189 is 3.

Also check out the Least Common Multiple of 48174 and 48189