What is the Greatest Common Factor of 25648 and 25663?

Greatest common factor (GCF) of 25648 and 25663 is 1.

GCF(25648,25663) = 1

We will now calculate the prime factors of 25648 and 25663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25648 and 25663.

How to find the GCF of 25648 and 25663?

We will first find the prime factorization of 25648 and 25663. After we will calculate the factors of 25648 and 25663 and find the biggest common factor number .

Step-1: Prime Factorization of 25648

Prime factors of 25648 are 2, 7, 229. Prime factorization of 25648 in exponential form is:

25648 = 2⁴ × 7¹ × 229¹

Step-2: Prime Factorization of 25663

Prime factors of 25663 are 11, 2333. Prime factorization of 25663 in exponential form is:

25663 = 11¹ × 2333¹

Step-3: Factors of 25648

List of positive integer factors of 25648 that divides 25648 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 229, 458, 916, 1603, 1832, 3206, 3664, 6412, 12824

Step-4: Factors of 25663

List of positive integer factors of 25663 that divides 25648 without a remainder.

1, 11, 2333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25648 and 25663. The biggest common factor number is the GCF number.
So the greatest common factor 25648 and 25663 is 1.

Also check out the Least Common Multiple of 25648 and 25663