What is the Greatest Common Factor of 25767 and 25779?

Greatest common factor (GCF) of 25767 and 25779 is 3.

GCF(25767,25779) = 3

We will now calculate the prime factors of 25767 and 25779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25767 and 25779.

How to find the GCF of 25767 and 25779?

We will first find the prime factorization of 25767 and 25779. After we will calculate the factors of 25767 and 25779 and find the biggest common factor number .

Step-1: Prime Factorization of 25767

Prime factors of 25767 are 3, 7, 409. Prime factorization of 25767 in exponential form is:

25767 = 3² × 7¹ × 409¹

Step-2: Prime Factorization of 25779

Prime factors of 25779 are 3, 13, 661. Prime factorization of 25779 in exponential form is:

25779 = 3¹ × 13¹ × 661¹

Step-3: Factors of 25767

List of positive integer factors of 25767 that divides 25767 without a remainder.

1, 3, 7, 9, 21, 63, 409, 1227, 2863, 3681, 8589

Step-4: Factors of 25779

List of positive integer factors of 25779 that divides 25767 without a remainder.

1, 3, 13, 39, 661, 1983, 8593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25767 and 25779. The biggest common factor number is the GCF number.
So the greatest common factor 25767 and 25779 is 3.

Also check out the Least Common Multiple of 25767 and 25779