What is the Greatest Common Factor of 5120 and 5136?

Greatest common factor (GCF) of 5120 and 5136 is 16.

GCF(5120,5136) = 16

We will now calculate the prime factors of 5120 and 5136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5120 and 5136.

How to find the GCF of 5120 and 5136?

We will first find the prime factorization of 5120 and 5136. After we will calculate the factors of 5120 and 5136 and find the biggest common factor number .

Step-1: Prime Factorization of 5120

Prime factors of 5120 are 2, 5. Prime factorization of 5120 in exponential form is:

5120 = 2¹⁰ × 5¹

Step-2: 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-3: Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560

Step-4: Factors of 5136

List of positive integer factors of 5136 that divides 5120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5120 and 5136. The biggest common factor number is the GCF number.
So the greatest common factor 5120 and 5136 is 16.

Also check out the Least Common Multiple of 5120 and 5136