What is the Greatest Common Factor of 15123 and 15131?

Greatest common factor (GCF) of 15123 and 15131 is 1.

GCF(15123,15131) = 1

We will now calculate the prime factors of 15123 and 15131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15123 and 15131.

How to find the GCF of 15123 and 15131?

We will first find the prime factorization of 15123 and 15131. After we will calculate the factors of 15123 and 15131 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 15131

Prime factors of 15131 are 15131. Prime factorization of 15131 in exponential form is:

15131 = 15131¹

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 15131

List of positive integer factors of 15131 that divides 15123 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15123 and 15131. The biggest common factor number is the GCF number.
So the greatest common factor 15123 and 15131 is 1.

Also check out the Least Common Multiple of 15123 and 15131