What is the Greatest Common Factor of 25844 and 25849?

Greatest common factor (GCF) of 25844 and 25849 is 1.

GCF(25844,25849) = 1

We will now calculate the prime factors of 25844 and 25849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25844 and 25849.

How to find the GCF of 25844 and 25849?

We will first find the prime factorization of 25844 and 25849. After we will calculate the factors of 25844 and 25849 and find the biggest common factor number .

Step-1: Prime Factorization of 25844

Prime factors of 25844 are 2, 7, 13, 71. Prime factorization of 25844 in exponential form is:

25844 = 2² × 7¹ × 13¹ × 71¹

Step-2: Prime Factorization of 25849

Prime factors of 25849 are 25849. Prime factorization of 25849 in exponential form is:

25849 = 25849¹

Step-3: Factors of 25844

List of positive integer factors of 25844 that divides 25844 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 71, 91, 142, 182, 284, 364, 497, 923, 994, 1846, 1988, 3692, 6461, 12922

Step-4: Factors of 25849

List of positive integer factors of 25849 that divides 25844 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25844 and 25849. The biggest common factor number is the GCF number.
So the greatest common factor 25844 and 25849 is 1.

Also check out the Least Common Multiple of 25844 and 25849