What is the Greatest Common Factor of 10144 and 10149?

Greatest common factor (GCF) of 10144 and 10149 is 1.

GCF(10144,10149) = 1

We will now calculate the prime factors of 10144 and 10149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10144 and 10149.

How to find the GCF of 10144 and 10149?

We will first find the prime factorization of 10144 and 10149. After we will calculate the factors of 10144 and 10149 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 10149

Prime factors of 10149 are 3, 17, 199. Prime factorization of 10149 in exponential form is:

10149 = 3¹ × 17¹ × 199¹

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 10149

List of positive integer factors of 10149 that divides 10144 without a remainder.

1, 3, 17, 51, 199, 597, 3383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10144 and 10149. The biggest common factor number is the GCF number.
So the greatest common factor 10144 and 10149 is 1.

Also check out the Least Common Multiple of 10144 and 10149