What is the Greatest Common Factor of 15148 and 15163?

Greatest common factor (GCF) of 15148 and 15163 is 1.

GCF(15148,15163) = 1

We will now calculate the prime factors of 15148 and 15163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15148 and 15163.

How to find the GCF of 15148 and 15163?

We will first find the prime factorization of 15148 and 15163. After we will calculate the factors of 15148 and 15163 and find the biggest common factor number .

Step-1: Prime Factorization of 15148

Prime factors of 15148 are 2, 7, 541. Prime factorization of 15148 in exponential form is:

15148 = 2² × 7¹ × 541¹

Step-2: Prime Factorization of 15163

Prime factors of 15163 are 59, 257. Prime factorization of 15163 in exponential form is:

15163 = 59¹ × 257¹

Step-3: Factors of 15148

List of positive integer factors of 15148 that divides 15148 without a remainder.

1, 2, 4, 7, 14, 28, 541, 1082, 2164, 3787, 7574

Step-4: Factors of 15163

List of positive integer factors of 15163 that divides 15148 without a remainder.

1, 59, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15148 and 15163. The biggest common factor number is the GCF number.
So the greatest common factor 15148 and 15163 is 1.

Also check out the Least Common Multiple of 15148 and 15163