What is the Greatest Common Factor of 8144 and 8157?

Greatest common factor (GCF) of 8144 and 8157 is 1.

GCF(8144,8157) = 1

We will now calculate the prime factors of 8144 and 8157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8144 and 8157.

How to find the GCF of 8144 and 8157?

We will first find the prime factorization of 8144 and 8157. After we will calculate the factors of 8144 and 8157 and find the biggest common factor number .

Step-1: Prime Factorization of 8144

Prime factors of 8144 are 2, 509. Prime factorization of 8144 in exponential form is:

8144 = 2⁴ × 509¹

Step-2: Prime Factorization of 8157

Prime factors of 8157 are 3, 2719. Prime factorization of 8157 in exponential form is:

8157 = 3¹ × 2719¹

Step-3: Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1, 2, 4, 8, 16, 509, 1018, 2036, 4072

Step-4: Factors of 8157

List of positive integer factors of 8157 that divides 8144 without a remainder.

1, 3, 2719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8144 and 8157. The biggest common factor number is the GCF number.
So the greatest common factor 8144 and 8157 is 1.

Also check out the Least Common Multiple of 8144 and 8157