What is the Greatest Common Factor of 48156 and 48174?

Greatest common factor (GCF) of 48156 and 48174 is 6.

GCF(48156,48174) = 6

We will now calculate the prime factors of 48156 and 48174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48156 and 48174.

How to find the GCF of 48156 and 48174?

We will first find the prime factorization of 48156 and 48174. After we will calculate the factors of 48156 and 48174 and find the biggest common factor number .

Step-1: Prime Factorization of 48156

Prime factors of 48156 are 2, 3, 4013. Prime factorization of 48156 in exponential form is:

48156 = 2² × 3¹ × 4013¹

Step-2: 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-3: Factors of 48156

List of positive integer factors of 48156 that divides 48156 without a remainder.

1, 2, 3, 4, 6, 12, 4013, 8026, 12039, 16052, 24078

Step-4: Factors of 48174

List of positive integer factors of 48174 that divides 48156 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48156 and 48174. The biggest common factor number is the GCF number.
So the greatest common factor 48156 and 48174 is 6.

Also check out the Least Common Multiple of 48156 and 48174