What is the Greatest Common Factor of 25744 and 25754?

Greatest common factor (GCF) of 25744 and 25754 is 2.

GCF(25744,25754) = 2

We will now calculate the prime factors of 25744 and 25754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25744 and 25754.

How to find the GCF of 25744 and 25754?

We will first find the prime factorization of 25744 and 25754. After we will calculate the factors of 25744 and 25754 and find the biggest common factor number .

Step-1: Prime Factorization of 25744

Prime factors of 25744 are 2, 1609. Prime factorization of 25744 in exponential form is:

25744 = 2⁴ × 1609¹

Step-2: Prime Factorization of 25754

Prime factors of 25754 are 2, 79, 163. Prime factorization of 25754 in exponential form is:

25754 = 2¹ × 79¹ × 163¹

Step-3: Factors of 25744

List of positive integer factors of 25744 that divides 25744 without a remainder.

1, 2, 4, 8, 16, 1609, 3218, 6436, 12872

Step-4: Factors of 25754

List of positive integer factors of 25754 that divides 25744 without a remainder.

1, 2, 79, 158, 163, 326, 12877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25744 and 25754. The biggest common factor number is the GCF number.
So the greatest common factor 25744 and 25754 is 2.

Also check out the Least Common Multiple of 25744 and 25754