What is the Greatest Common Factor of 25842 and 25856?

Greatest common factor (GCF) of 25842 and 25856 is 2.

GCF(25842,25856) = 2

We will now calculate the prime factors of 25842 and 25856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25842 and 25856.

How to find the GCF of 25842 and 25856?

We will first find the prime factorization of 25842 and 25856. After we will calculate the factors of 25842 and 25856 and find the biggest common factor number .

Step-1: Prime Factorization of 25842

Prime factors of 25842 are 2, 3, 59, 73. Prime factorization of 25842 in exponential form is:

25842 = 2¹ × 3¹ × 59¹ × 73¹

Step-2: Prime Factorization of 25856

Prime factors of 25856 are 2, 101. Prime factorization of 25856 in exponential form is:

25856 = 2⁸ × 101¹

Step-3: Factors of 25842

List of positive integer factors of 25842 that divides 25842 without a remainder.

1, 2, 3, 6, 59, 73, 118, 146, 177, 219, 354, 438, 4307, 8614, 12921

Step-4: Factors of 25856

List of positive integer factors of 25856 that divides 25842 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 128, 202, 256, 404, 808, 1616, 3232, 6464, 12928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25842 and 25856. The biggest common factor number is the GCF number.
So the greatest common factor 25842 and 25856 is 2.

Also check out the Least Common Multiple of 25842 and 25856