What is the Greatest Common Factor of 25648 and 25667?

Greatest common factor (GCF) of 25648 and 25667 is 1.

GCF(25648,25667) = 1

We will now calculate the prime factors of 25648 and 25667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25648 and 25667.

How to find the GCF of 25648 and 25667?

We will first find the prime factorization of 25648 and 25667. After we will calculate the factors of 25648 and 25667 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 25667

Prime factors of 25667 are 25667. Prime factorization of 25667 in exponential form is:

25667 = 25667¹

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 25667

List of positive integer factors of 25667 that divides 25648 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25648 and 25667. The biggest common factor number is the GCF number.
So the greatest common factor 25648 and 25667 is 1.

Also check out the Least Common Multiple of 25648 and 25667