What is the Greatest Common Factor of 10144 and 10163?

Greatest common factor (GCF) of 10144 and 10163 is 1.

GCF(10144,10163) = 1

We will now calculate the prime factors of 10144 and 10163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10144 and 10163.

How to find the GCF of 10144 and 10163?

We will first find the prime factorization of 10144 and 10163. After we will calculate the factors of 10144 and 10163 and find the biggest common factor number .

Step-1: Prime Factorization of 10144

Prime factors of 10144 are 2, 317. Prime factorization of 10144 in exponential form is:

10144 = 2⁵ × 317¹

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 10144

List of positive integer factors of 10144 that divides 10144 without a remainder.

1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072

Step-4: Factors of 10163

List of positive integer factors of 10163 that divides 10144 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10144 and 10163. The biggest common factor number is the GCF number.
So the greatest common factor 10144 and 10163 is 1.

Also check out the Least Common Multiple of 10144 and 10163