What is the Greatest Common Factor of 48174 and 48180?

Greatest common factor (GCF) of 48174 and 48180 is 6.

GCF(48174,48180) = 6

We will now calculate the prime factors of 48174 and 48180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48174 and 48180.

How to find the GCF of 48174 and 48180?

We will first find the prime factorization of 48174 and 48180. After we will calculate the factors of 48174 and 48180 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 48180

Prime factors of 48180 are 2, 3, 5, 11, 73. Prime factorization of 48180 in exponential form is:

48180 = 2² × 3¹ × 5¹ × 11¹ × 73¹

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 48180

List of positive integer factors of 48180 that divides 48174 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 73, 110, 132, 146, 165, 219, 220, 292, 330, 365, 438, 660, 730, 803, 876, 1095, 1460, 1606, 2190, 2409, 3212, 4015, 4380, 4818, 8030, 9636, 12045, 16060, 24090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48174 and 48180. The biggest common factor number is the GCF number.
So the greatest common factor 48174 and 48180 is 6.

Also check out the Least Common Multiple of 48174 and 48180