What is the Greatest Common Factor of 25656 and 25666?

Greatest common factor (GCF) of 25656 and 25666 is 2.

GCF(25656,25666) = 2

We will now calculate the prime factors of 25656 and 25666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25656 and 25666.

How to find the GCF of 25656 and 25666?

We will first find the prime factorization of 25656 and 25666. After we will calculate the factors of 25656 and 25666 and find the biggest common factor number .

Step-1: Prime Factorization of 25656

Prime factors of 25656 are 2, 3, 1069. Prime factorization of 25656 in exponential form is:

25656 = 2³ × 3¹ × 1069¹

Step-2: Prime Factorization of 25666

Prime factors of 25666 are 2, 41, 313. Prime factorization of 25666 in exponential form is:

25666 = 2¹ × 41¹ × 313¹

Step-3: Factors of 25656

List of positive integer factors of 25656 that divides 25656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1069, 2138, 3207, 4276, 6414, 8552, 12828

Step-4: Factors of 25666

List of positive integer factors of 25666 that divides 25656 without a remainder.

1, 2, 41, 82, 313, 626, 12833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25656 and 25666. The biggest common factor number is the GCF number.
So the greatest common factor 25656 and 25666 is 2.

Also check out the Least Common Multiple of 25656 and 25666