What is the Greatest Common Factor of 8144 and 8154?

Greatest common factor (GCF) of 8144 and 8154 is 2.

GCF(8144,8154) = 2

We will now calculate the prime factors of 8144 and 8154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8144 and 8154.

How to find the GCF of 8144 and 8154?

We will first find the prime factorization of 8144 and 8154. After we will calculate the factors of 8144 and 8154 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 8154

Prime factors of 8154 are 2, 3, 151. Prime factorization of 8154 in exponential form is:

8154 = 2¹ × 3³ × 151¹

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 8154

List of positive integer factors of 8154 that divides 8144 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8144 and 8154. The biggest common factor number is the GCF number.
So the greatest common factor 8144 and 8154 is 2.

Also check out the Least Common Multiple of 8144 and 8154