What is the Greatest Common Factor of 25774 and 25793?

Greatest common factor (GCF) of 25774 and 25793 is 1.

GCF(25774,25793) = 1

We will now calculate the prime factors of 25774 and 25793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25774 and 25793.

How to find the GCF of 25774 and 25793?

We will first find the prime factorization of 25774 and 25793. After we will calculate the factors of 25774 and 25793 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 25793

Prime factors of 25793 are 25793. Prime factorization of 25793 in exponential form is:

25793 = 25793¹

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 25793

List of positive integer factors of 25793 that divides 25774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25774 and 25793. The biggest common factor number is the GCF number.
So the greatest common factor 25774 and 25793 is 1.

Also check out the Least Common Multiple of 25774 and 25793