What is the Greatest Common Factor of 25840 and 25859?

Greatest common factor (GCF) of 25840 and 25859 is 19.

GCF(25840,25859) = 19

We will now calculate the prime factors of 25840 and 25859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25840 and 25859.

How to find the GCF of 25840 and 25859?

We will first find the prime factorization of 25840 and 25859. After we will calculate the factors of 25840 and 25859 and find the biggest common factor number .

Step-1: Prime Factorization of 25840

Prime factors of 25840 are 2, 5, 17, 19. Prime factorization of 25840 in exponential form is:

25840 = 2⁴ × 5¹ × 17¹ × 19¹

Step-2: Prime Factorization of 25859

Prime factors of 25859 are 19, 1361. Prime factorization of 25859 in exponential form is:

25859 = 19¹ × 1361¹

Step-3: Factors of 25840

List of positive integer factors of 25840 that divides 25840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 19, 20, 34, 38, 40, 68, 76, 80, 85, 95, 136, 152, 170, 190, 272, 304, 323, 340, 380, 646, 680, 760, 1292, 1360, 1520, 1615, 2584, 3230, 5168, 6460, 12920

Step-4: Factors of 25859

List of positive integer factors of 25859 that divides 25840 without a remainder.

1, 19, 1361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25840 and 25859. The biggest common factor number is the GCF number.
So the greatest common factor 25840 and 25859 is 19.

Also check out the Least Common Multiple of 25840 and 25859