What is the Greatest Common Factor of 48129 and 48146?

Greatest common factor (GCF) of 48129 and 48146 is 1.

GCF(48129,48146) = 1

We will now calculate the prime factors of 48129 and 48146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48129 and 48146.

How to find the GCF of 48129 and 48146?

We will first find the prime factorization of 48129 and 48146. After we will calculate the factors of 48129 and 48146 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48146

Prime factors of 48146 are 2, 7, 19, 181. Prime factorization of 48146 in exponential form is:

48146 = 2¹ × 7¹ × 19¹ × 181¹

Step-3: Factors of 48129

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

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

Step-4: Factors of 48146

List of positive integer factors of 48146 that divides 48129 without a remainder.

1, 2, 7, 14, 19, 38, 133, 181, 266, 362, 1267, 2534, 3439, 6878, 24073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48129 and 48146. The biggest common factor number is the GCF number.
So the greatest common factor 48129 and 48146 is 1.

Also check out the Least Common Multiple of 48129 and 48146