What is the Greatest Common Factor of 48180 and 48192?

Greatest common factor (GCF) of 48180 and 48192 is 12.

GCF(48180,48192) = 12

We will now calculate the prime factors of 48180 and 48192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48180 and 48192.

How to find the GCF of 48180 and 48192?

We will first find the prime factorization of 48180 and 48192. After we will calculate the factors of 48180 and 48192 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48192

Prime factors of 48192 are 2, 3, 251. Prime factorization of 48192 in exponential form is:

48192 = 2⁶ × 3¹ × 251¹

Step-3: Factors of 48180

List of positive integer factors of 48180 that divides 48180 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

Step-4: Factors of 48192

List of positive integer factors of 48192 that divides 48180 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 251, 502, 753, 1004, 1506, 2008, 3012, 4016, 6024, 8032, 12048, 16064, 24096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48180 and 48192. The biggest common factor number is the GCF number.
So the greatest common factor 48180 and 48192 is 12.

Also check out the Least Common Multiple of 48180 and 48192