What is the Greatest Common Factor of 17755 and 17775?

Greatest common factor (GCF) of 17755 and 17775 is 5.

GCF(17755,17775) = 5

We will now calculate the prime factors of 17755 and 17775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17755 and 17775.

How to find the GCF of 17755 and 17775?

We will first find the prime factorization of 17755 and 17775. After we will calculate the factors of 17755 and 17775 and find the biggest common factor number .

Step-1: Prime Factorization of 17755

Prime factors of 17755 are 5, 53, 67. Prime factorization of 17755 in exponential form is:

17755 = 5¹ × 53¹ × 67¹

Step-2: Prime Factorization of 17775

Prime factors of 17775 are 3, 5, 79. Prime factorization of 17775 in exponential form is:

17775 = 3² × 5² × 79¹

Step-3: Factors of 17755

List of positive integer factors of 17755 that divides 17755 without a remainder.

1, 5, 53, 67, 265, 335, 3551

Step-4: Factors of 17775

List of positive integer factors of 17775 that divides 17755 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 79, 225, 237, 395, 711, 1185, 1975, 3555, 5925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17755 and 17775. The biggest common factor number is the GCF number.
So the greatest common factor 17755 and 17775 is 5.

Also check out the Least Common Multiple of 17755 and 17775