What is the Greatest Common Factor of 10144 and 10157?

Greatest common factor (GCF) of 10144 and 10157 is 1.

GCF(10144,10157) = 1

We will now calculate the prime factors of 10144 and 10157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10144 and 10157.

How to find the GCF of 10144 and 10157?

We will first find the prime factorization of 10144 and 10157. After we will calculate the factors of 10144 and 10157 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 10157

Prime factors of 10157 are 7, 1451. Prime factorization of 10157 in exponential form is:

10157 = 7¹ × 1451¹

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 10157

List of positive integer factors of 10157 that divides 10144 without a remainder.

1, 7, 1451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10144 and 10157. The biggest common factor number is the GCF number.
So the greatest common factor 10144 and 10157 is 1.

Also check out the Least Common Multiple of 10144 and 10157