What is the Greatest Common Factor of 48099 and 48111?

Greatest common factor (GCF) of 48099 and 48111 is 3.

GCF(48099,48111) = 3

We will now calculate the prime factors of 48099 and 48111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48099 and 48111.

How to find the GCF of 48099 and 48111?

We will first find the prime factorization of 48099 and 48111. After we will calculate the factors of 48099 and 48111 and find the biggest common factor number .

Step-1: Prime Factorization of 48099

Prime factors of 48099 are 3, 16033. Prime factorization of 48099 in exponential form is:

48099 = 3¹ × 16033¹

Step-2: Prime Factorization of 48111

Prime factors of 48111 are 3, 7, 29, 79. Prime factorization of 48111 in exponential form is:

48111 = 3¹ × 7¹ × 29¹ × 79¹

Step-3: Factors of 48099

List of positive integer factors of 48099 that divides 48099 without a remainder.

1, 3, 16033

Step-4: Factors of 48111

List of positive integer factors of 48111 that divides 48099 without a remainder.

1, 3, 7, 21, 29, 79, 87, 203, 237, 553, 609, 1659, 2291, 6873, 16037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48099 and 48111. The biggest common factor number is the GCF number.
So the greatest common factor 48099 and 48111 is 3.

Also check out the Least Common Multiple of 48099 and 48111