What is the Greatest Common Factor of 48117 and 48123?

Greatest common factor (GCF) of 48117 and 48123 is 3.

GCF(48117,48123) = 3

We will now calculate the prime factors of 48117 and 48123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48117 and 48123.

How to find the GCF of 48117 and 48123?

We will first find the prime factorization of 48117 and 48123. After we will calculate the factors of 48117 and 48123 and find the biggest common factor number .

Step-1: Prime Factorization of 48117

Prime factors of 48117 are 3, 43, 373. Prime factorization of 48117 in exponential form is:

48117 = 3¹ × 43¹ × 373¹

Step-2: Prime Factorization of 48123

Prime factors of 48123 are 3, 5347. Prime factorization of 48123 in exponential form is:

48123 = 3² × 5347¹

Step-3: Factors of 48117

List of positive integer factors of 48117 that divides 48117 without a remainder.

1, 3, 43, 129, 373, 1119, 16039

Step-4: Factors of 48123

List of positive integer factors of 48123 that divides 48117 without a remainder.

1, 3, 9, 5347, 16041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48117 and 48123. The biggest common factor number is the GCF number.
So the greatest common factor 48117 and 48123 is 3.

Also check out the Least Common Multiple of 48117 and 48123