What is the Greatest Common Factor of 25774 and 25791?

Greatest common factor (GCF) of 25774 and 25791 is 1.

GCF(25774,25791) = 1

We will now calculate the prime factors of 25774 and 25791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25774 and 25791.

How to find the GCF of 25774 and 25791?

We will first find the prime factorization of 25774 and 25791. After we will calculate the factors of 25774 and 25791 and find the biggest common factor number .

Step-1: Prime Factorization of 25774

Prime factors of 25774 are 2, 7, 263. Prime factorization of 25774 in exponential form is:

25774 = 2¹ × 7² × 263¹

Step-2: Prime Factorization of 25791

Prime factors of 25791 are 3, 8597. Prime factorization of 25791 in exponential form is:

25791 = 3¹ × 8597¹

Step-3: Factors of 25774

List of positive integer factors of 25774 that divides 25774 without a remainder.

1, 2, 7, 14, 49, 98, 263, 526, 1841, 3682, 12887

Step-4: Factors of 25791

List of positive integer factors of 25791 that divides 25774 without a remainder.

1, 3, 8597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25774 and 25791. The biggest common factor number is the GCF number.
So the greatest common factor 25774 and 25791 is 1.

Also check out the Least Common Multiple of 25774 and 25791