What is the Greatest Common Factor of 48177 and 48192?

Greatest common factor (GCF) of 48177 and 48192 is 3.

GCF(48177,48192) = 3

We will now calculate the prime factors of 48177 and 48192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48177 and 48192.

How to find the GCF of 48177 and 48192?

We will first find the prime factorization of 48177 and 48192. After we will calculate the factors of 48177 and 48192 and find the biggest common factor number .

Step-1: Prime Factorization of 48177

Prime factors of 48177 are 3, 53, 101. Prime factorization of 48177 in exponential form is:

48177 = 3² × 53¹ × 101¹

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 48177

List of positive integer factors of 48177 that divides 48177 without a remainder.

1, 3, 9, 53, 101, 159, 303, 477, 909, 5353, 16059

Step-4: Factors of 48192

List of positive integer factors of 48192 that divides 48177 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 48177 and 48192. The biggest common factor number is the GCF number.
So the greatest common factor 48177 and 48192 is 3.

Also check out the Least Common Multiple of 48177 and 48192