What is the Greatest Common Factor of 10148 and 10163?

Greatest common factor (GCF) of 10148 and 10163 is 1.

GCF(10148,10163) = 1

We will now calculate the prime factors of 10148 and 10163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10148 and 10163.

How to find the GCF of 10148 and 10163?

We will first find the prime factorization of 10148 and 10163. After we will calculate the factors of 10148 and 10163 and find the biggest common factor number .

Step-1: Prime Factorization of 10148

Prime factors of 10148 are 2, 43, 59. Prime factorization of 10148 in exponential form is:

10148 = 2² × 43¹ × 59¹

Step-2: Prime Factorization of 10163

Prime factors of 10163 are 10163. Prime factorization of 10163 in exponential form is:

10163 = 10163¹

Step-3: Factors of 10148

List of positive integer factors of 10148 that divides 10148 without a remainder.

1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074

Step-4: Factors of 10163

List of positive integer factors of 10163 that divides 10148 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10148 and 10163. The biggest common factor number is the GCF number.
So the greatest common factor 10148 and 10163 is 1.

Also check out the Least Common Multiple of 10148 and 10163