What is the Greatest Common Factor of 25897 and 25916?

Greatest common factor (GCF) of 25897 and 25916 is 19.

GCF(25897,25916) = 19

We will now calculate the prime factors of 25897 and 25916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25897 and 25916.

How to find the GCF of 25897 and 25916?

We will first find the prime factorization of 25897 and 25916. After we will calculate the factors of 25897 and 25916 and find the biggest common factor number .

Step-1: Prime Factorization of 25897

Prime factors of 25897 are 19, 29, 47. Prime factorization of 25897 in exponential form is:

25897 = 19¹ × 29¹ × 47¹

Step-2: Prime Factorization of 25916

Prime factors of 25916 are 2, 11, 19, 31. Prime factorization of 25916 in exponential form is:

25916 = 2² × 11¹ × 19¹ × 31¹

Step-3: Factors of 25897

List of positive integer factors of 25897 that divides 25897 without a remainder.

1, 19, 29, 47, 551, 893, 1363

Step-4: Factors of 25916

List of positive integer factors of 25916 that divides 25897 without a remainder.

1, 2, 4, 11, 19, 22, 31, 38, 44, 62, 76, 124, 209, 341, 418, 589, 682, 836, 1178, 1364, 2356, 6479, 12958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25897 and 25916. The biggest common factor number is the GCF number.
So the greatest common factor 25897 and 25916 is 19.

Also check out the Least Common Multiple of 25897 and 25916