What is the Greatest Common Factor of 25761 and 25773?

Greatest common factor (GCF) of 25761 and 25773 is 3.

GCF(25761,25773) = 3

We will now calculate the prime factors of 25761 and 25773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25761 and 25773.

How to find the GCF of 25761 and 25773?

We will first find the prime factorization of 25761 and 25773. After we will calculate the factors of 25761 and 25773 and find the biggest common factor number .

Step-1: Prime Factorization of 25761

Prime factors of 25761 are 3, 31, 277. Prime factorization of 25761 in exponential form is:

25761 = 3¹ × 31¹ × 277¹

Step-2: Prime Factorization of 25773

Prime factors of 25773 are 3, 11, 71. Prime factorization of 25773 in exponential form is:

25773 = 3¹ × 11² × 71¹

Step-3: Factors of 25761

List of positive integer factors of 25761 that divides 25761 without a remainder.

1, 3, 31, 93, 277, 831, 8587

Step-4: Factors of 25773

List of positive integer factors of 25773 that divides 25761 without a remainder.

1, 3, 11, 33, 71, 121, 213, 363, 781, 2343, 8591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25761 and 25773. The biggest common factor number is the GCF number.
So the greatest common factor 25761 and 25773 is 3.

Also check out the Least Common Multiple of 25761 and 25773