What is the Greatest Common Factor of 25664 and 25669?

Greatest common factor (GCF) of 25664 and 25669 is 1.

GCF(25664,25669) = 1

We will now calculate the prime factors of 25664 and 25669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25664 and 25669.

How to find the GCF of 25664 and 25669?

We will first find the prime factorization of 25664 and 25669. After we will calculate the factors of 25664 and 25669 and find the biggest common factor number .

Step-1: Prime Factorization of 25664

Prime factors of 25664 are 2, 401. Prime factorization of 25664 in exponential form is:

25664 = 2⁶ × 401¹

Step-2: Prime Factorization of 25669

Prime factors of 25669 are 7, 19, 193. Prime factorization of 25669 in exponential form is:

25669 = 7¹ × 19¹ × 193¹

Step-3: Factors of 25664

List of positive integer factors of 25664 that divides 25664 without a remainder.

1, 2, 4, 8, 16, 32, 64, 401, 802, 1604, 3208, 6416, 12832

Step-4: Factors of 25669

List of positive integer factors of 25669 that divides 25664 without a remainder.

1, 7, 19, 133, 193, 1351, 3667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25664 and 25669. The biggest common factor number is the GCF number.
So the greatest common factor 25664 and 25669 is 1.

Also check out the Least Common Multiple of 25664 and 25669