What is the Greatest Common Factor of 15123 and 15141?

Greatest common factor (GCF) of 15123 and 15141 is 3.

GCF(15123,15141) = 3

We will now calculate the prime factors of 15123 and 15141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15123 and 15141.

How to find the GCF of 15123 and 15141?

We will first find the prime factorization of 15123 and 15141. After we will calculate the factors of 15123 and 15141 and find the biggest common factor number .

Step-1: Prime Factorization of 15123

Prime factors of 15123 are 3, 71. Prime factorization of 15123 in exponential form is:

15123 = 3¹ × 71²

Step-2: Prime Factorization of 15141

Prime factors of 15141 are 3, 7, 103. Prime factorization of 15141 in exponential form is:

15141 = 3¹ × 7² × 103¹

Step-3: Factors of 15123

List of positive integer factors of 15123 that divides 15123 without a remainder.

1, 3, 71, 213, 5041

Step-4: Factors of 15141

List of positive integer factors of 15141 that divides 15123 without a remainder.

1, 3, 7, 21, 49, 103, 147, 309, 721, 2163, 5047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15123 and 15141. The biggest common factor number is the GCF number.
So the greatest common factor 15123 and 15141 is 3.

Also check out the Least Common Multiple of 15123 and 15141