What is the Greatest Common Factor of 10144 and 10162?

Greatest common factor (GCF) of 10144 and 10162 is 2.

GCF(10144,10162) = 2

We will now calculate the prime factors of 10144 and 10162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10144 and 10162.

How to find the GCF of 10144 and 10162?

We will first find the prime factorization of 10144 and 10162. After we will calculate the factors of 10144 and 10162 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 10162

Prime factors of 10162 are 2, 5081. Prime factorization of 10162 in exponential form is:

10162 = 2¹ × 5081¹

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 10162

List of positive integer factors of 10162 that divides 10144 without a remainder.

1, 2, 5081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10144 and 10162. The biggest common factor number is the GCF number.
So the greatest common factor 10144 and 10162 is 2.

Also check out the Least Common Multiple of 10144 and 10162