What is the Greatest Common Factor of 25761 and 25776?

Greatest common factor (GCF) of 25761 and 25776 is 3.

GCF(25761,25776) = 3

We will now calculate the prime factors of 25761 and 25776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25761 and 25776.

How to find the GCF of 25761 and 25776?

We will first find the prime factorization of 25761 and 25776. After we will calculate the factors of 25761 and 25776 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 25776

Prime factors of 25776 are 2, 3, 179. Prime factorization of 25776 in exponential form is:

25776 = 2⁴ × 3² × 179¹

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 25776

List of positive integer factors of 25776 that divides 25761 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 179, 358, 537, 716, 1074, 1432, 1611, 2148, 2864, 3222, 4296, 6444, 8592, 12888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25761 and 25776. The biggest common factor number is the GCF number.
So the greatest common factor 25761 and 25776 is 3.

Also check out the Least Common Multiple of 25761 and 25776