What is the Greatest Common Factor of 25774 and 25787?

Greatest common factor (GCF) of 25774 and 25787 is 1.

GCF(25774,25787) = 1

We will now calculate the prime factors of 25774 and 25787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25774 and 25787.

How to find the GCF of 25774 and 25787?

We will first find the prime factorization of 25774 and 25787. After we will calculate the factors of 25774 and 25787 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 25787

Prime factors of 25787 are 107, 241. Prime factorization of 25787 in exponential form is:

25787 = 107¹ × 241¹

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 25787

List of positive integer factors of 25787 that divides 25774 without a remainder.

1, 107, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25774 and 25787. The biggest common factor number is the GCF number.
So the greatest common factor 25774 and 25787 is 1.

Also check out the Least Common Multiple of 25774 and 25787