What is the Greatest Common Factor of 25838 and 25854?

Greatest common factor (GCF) of 25838 and 25854 is 2.

GCF(25838,25854) = 2

We will now calculate the prime factors of 25838 and 25854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25838 and 25854.

How to find the GCF of 25838 and 25854?

We will first find the prime factorization of 25838 and 25854. After we will calculate the factors of 25838 and 25854 and find the biggest common factor number .

Step-1: Prime Factorization of 25838

Prime factors of 25838 are 2, 12919. Prime factorization of 25838 in exponential form is:

25838 = 2¹ × 12919¹

Step-2: Prime Factorization of 25854

Prime factors of 25854 are 2, 3, 31, 139. Prime factorization of 25854 in exponential form is:

25854 = 2¹ × 3¹ × 31¹ × 139¹

Step-3: Factors of 25838

List of positive integer factors of 25838 that divides 25838 without a remainder.

1, 2, 12919

Step-4: Factors of 25854

List of positive integer factors of 25854 that divides 25838 without a remainder.

1, 2, 3, 6, 31, 62, 93, 139, 186, 278, 417, 834, 4309, 8618, 12927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25838 and 25854. The biggest common factor number is the GCF number.
So the greatest common factor 25838 and 25854 is 2.

Also check out the Least Common Multiple of 25838 and 25854