What is the Greatest Common Factor of 48174 and 48188?

Greatest common factor (GCF) of 48174 and 48188 is 14.

GCF(48174,48188) = 14

We will now calculate the prime factors of 48174 and 48188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48174 and 48188.

How to find the GCF of 48174 and 48188?

We will first find the prime factorization of 48174 and 48188. After we will calculate the factors of 48174 and 48188 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 48188

Prime factors of 48188 are 2, 7, 1721. Prime factorization of 48188 in exponential form is:

48188 = 2² × 7¹ × 1721¹

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 48188

List of positive integer factors of 48188 that divides 48174 without a remainder.

1, 2, 4, 7, 14, 28, 1721, 3442, 6884, 12047, 24094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48174 and 48188. The biggest common factor number is the GCF number.
So the greatest common factor 48174 and 48188 is 14.

Also check out the Least Common Multiple of 48174 and 48188