What is the Greatest Common Factor of 5120 and 5127?

Greatest common factor (GCF) of 5120 and 5127 is 1.

GCF(5120,5127) = 1

We will now calculate the prime factors of 5120 and 5127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5120 and 5127.

How to find the GCF of 5120 and 5127?

We will first find the prime factorization of 5120 and 5127. After we will calculate the factors of 5120 and 5127 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 5127

Prime factors of 5127 are 3, 1709. Prime factorization of 5127 in exponential form is:

5127 = 3¹ × 1709¹

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 5127

List of positive integer factors of 5127 that divides 5120 without a remainder.

1, 3, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5120 and 5127. The biggest common factor number is the GCF number.
So the greatest common factor 5120 and 5127 is 1.

Also check out the Least Common Multiple of 5120 and 5127