What is the Greatest Common Factor of 5136 and 5144?

Greatest common factor (GCF) of 5136 and 5144 is 8.

GCF(5136,5144) = 8

We will now calculate the prime factors of 5136 and 5144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5136 and 5144.

How to find the GCF of 5136 and 5144?

We will first find the prime factorization of 5136 and 5144. After we will calculate the factors of 5136 and 5144 and find the biggest common factor number .

Step-1: Prime Factorization of 5136

Prime factors of 5136 are 2, 3, 107. Prime factorization of 5136 in exponential form is:

5136 = 2⁴ × 3¹ × 107¹

Step-2: Prime Factorization of 5144

Prime factors of 5144 are 2, 643. Prime factorization of 5144 in exponential form is:

5144 = 2³ × 643¹

Step-3: Factors of 5136

List of positive integer factors of 5136 that divides 5136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568

Step-4: Factors of 5144

List of positive integer factors of 5144 that divides 5136 without a remainder.

1, 2, 4, 8, 643, 1286, 2572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5136 and 5144. The biggest common factor number is the GCF number.
So the greatest common factor 5136 and 5144 is 8.

Also check out the Least Common Multiple of 5136 and 5144