What is the Greatest Common Factor of 48111 and 48129?

Greatest common factor (GCF) of 48111 and 48129 is 3.

GCF(48111,48129) = 3

We will now calculate the prime factors of 48111 and 48129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48111 and 48129.

How to find the GCF of 48111 and 48129?

We will first find the prime factorization of 48111 and 48129. After we will calculate the factors of 48111 and 48129 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48129

Prime factors of 48129 are 3, 61, 263. Prime factorization of 48129 in exponential form is:

48129 = 3¹ × 61¹ × 263¹

Step-3: Factors of 48111

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

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

Step-4: Factors of 48129

List of positive integer factors of 48129 that divides 48111 without a remainder.

1, 3, 61, 183, 263, 789, 16043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48111 and 48129. The biggest common factor number is the GCF number.
So the greatest common factor 48111 and 48129 is 3.

Also check out the Least Common Multiple of 48111 and 48129