What is the Greatest Common Factor of 25600 and 25605?

Greatest common factor (GCF) of 25600 and 25605 is 5.

GCF(25600,25605) = 5

We will now calculate the prime factors of 25600 and 25605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25600 and 25605.

How to find the GCF of 25600 and 25605?

We will first find the prime factorization of 25600 and 25605. After we will calculate the factors of 25600 and 25605 and find the biggest common factor number .

Step-1: Prime Factorization of 25600

Prime factors of 25600 are 2, 5. Prime factorization of 25600 in exponential form is:

25600 = 2¹⁰ × 5²

Step-2: Prime Factorization of 25605

Prime factors of 25605 are 3, 5, 569. Prime factorization of 25605 in exponential form is:

25605 = 3² × 5¹ × 569¹

Step-3: Factors of 25600

List of positive integer factors of 25600 that divides 25600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 512, 640, 800, 1024, 1280, 1600, 2560, 3200, 5120, 6400, 12800

Step-4: Factors of 25605

List of positive integer factors of 25605 that divides 25600 without a remainder.

1, 3, 5, 9, 15, 45, 569, 1707, 2845, 5121, 8535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25600 and 25605. The biggest common factor number is the GCF number.
So the greatest common factor 25600 and 25605 is 5.

Also check out the Least Common Multiple of 25600 and 25605