What is the Greatest Common Factor of 25981 and 25993?

Greatest common factor (GCF) of 25981 and 25993 is 1.

GCF(25981,25993) = 1

We will now calculate the prime factors of 25981 and 25993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25981 and 25993.

How to find the GCF of 25981 and 25993?

We will first find the prime factorization of 25981 and 25993. After we will calculate the factors of 25981 and 25993 and find the biggest common factor number .

Step-1: Prime Factorization of 25981

Prime factors of 25981 are 25981. Prime factorization of 25981 in exponential form is:

25981 = 25981¹

Step-2: Prime Factorization of 25993

Prime factors of 25993 are 11, 17, 139. Prime factorization of 25993 in exponential form is:

25993 = 11¹ × 17¹ × 139¹

Step-3: Factors of 25981

List of positive integer factors of 25981 that divides 25981 without a remainder.

Step-4: Factors of 25993

List of positive integer factors of 25993 that divides 25981 without a remainder.

1, 11, 17, 139, 187, 1529, 2363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25981 and 25993. The biggest common factor number is the GCF number.
So the greatest common factor 25981 and 25993 is 1.

Also check out the Least Common Multiple of 25981 and 25993