What is the Greatest Common Factor of 25718 and 25732?

Greatest common factor (GCF) of 25718 and 25732 is 14.

GCF(25718,25732) = 14

We will now calculate the prime factors of 25718 and 25732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25718 and 25732.

How to find the GCF of 25718 and 25732?

We will first find the prime factorization of 25718 and 25732. After we will calculate the factors of 25718 and 25732 and find the biggest common factor number .

Step-1: Prime Factorization of 25718

Prime factors of 25718 are 2, 7, 11, 167. Prime factorization of 25718 in exponential form is:

25718 = 2¹ × 7¹ × 11¹ × 167¹

Step-2: Prime Factorization of 25732

Prime factors of 25732 are 2, 7, 919. Prime factorization of 25732 in exponential form is:

25732 = 2² × 7¹ × 919¹

Step-3: Factors of 25718

List of positive integer factors of 25718 that divides 25718 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 167, 334, 1169, 1837, 2338, 3674, 12859

Step-4: Factors of 25732

List of positive integer factors of 25732 that divides 25718 without a remainder.

1, 2, 4, 7, 14, 28, 919, 1838, 3676, 6433, 12866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25718 and 25732. The biggest common factor number is the GCF number.
So the greatest common factor 25718 and 25732 is 14.

Also check out the Least Common Multiple of 25718 and 25732