What is the Greatest Common Factor of 25514 and 25531?

Greatest common factor (GCF) of 25514 and 25531 is 1.

GCF(25514,25531) = 1

We will now calculate the prime factors of 25514 and 25531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25514 and 25531.

How to find the GCF of 25514 and 25531?

We will first find the prime factorization of 25514 and 25531. After we will calculate the factors of 25514 and 25531 and find the biggest common factor number .

Step-1: Prime Factorization of 25514

Prime factors of 25514 are 2, 12757. Prime factorization of 25514 in exponential form is:

25514 = 2¹ × 12757¹

Step-2: Prime Factorization of 25531

Prime factors of 25531 are 11, 211. Prime factorization of 25531 in exponential form is:

25531 = 11² × 211¹

Step-3: Factors of 25514

List of positive integer factors of 25514 that divides 25514 without a remainder.

1, 2, 12757

Step-4: Factors of 25531

List of positive integer factors of 25531 that divides 25514 without a remainder.

1, 11, 121, 211, 2321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25514 and 25531. The biggest common factor number is the GCF number.
So the greatest common factor 25514 and 25531 is 1.

Also check out the Least Common Multiple of 25514 and 25531