What is the Greatest Common Factor of 25755 and 25775?

Greatest common factor (GCF) of 25755 and 25775 is 5.

GCF(25755,25775) = 5

We will now calculate the prime factors of 25755 and 25775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25755 and 25775.

How to find the GCF of 25755 and 25775?

We will first find the prime factorization of 25755 and 25775. After we will calculate the factors of 25755 and 25775 and find the biggest common factor number .

Step-1: Prime Factorization of 25755

Prime factors of 25755 are 3, 5, 17, 101. Prime factorization of 25755 in exponential form is:

25755 = 3¹ × 5¹ × 17¹ × 101¹

Step-2: Prime Factorization of 25775

Prime factors of 25775 are 5, 1031. Prime factorization of 25775 in exponential form is:

25775 = 5² × 1031¹

Step-3: Factors of 25755

List of positive integer factors of 25755 that divides 25755 without a remainder.

1, 3, 5, 15, 17, 51, 85, 101, 255, 303, 505, 1515, 1717, 5151, 8585

Step-4: Factors of 25775

List of positive integer factors of 25775 that divides 25755 without a remainder.

1, 5, 25, 1031, 5155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25755 and 25775. The biggest common factor number is the GCF number.
So the greatest common factor 25755 and 25775 is 5.

Also check out the Least Common Multiple of 25755 and 25775