What is the Greatest Common Factor of 17775 and 17787?

Greatest common factor (GCF) of 17775 and 17787 is 3.

GCF(17775,17787) = 3

We will now calculate the prime factors of 17775 and 17787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17775 and 17787.

How to find the GCF of 17775 and 17787?

We will first find the prime factorization of 17775 and 17787. After we will calculate the factors of 17775 and 17787 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17787

Prime factors of 17787 are 3, 7, 11. Prime factorization of 17787 in exponential form is:

17787 = 3¹ × 7² × 11²

Step-3: Factors of 17775

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

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

Step-4: Factors of 17787

List of positive integer factors of 17787 that divides 17775 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 121, 147, 231, 363, 539, 847, 1617, 2541, 5929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17775 and 17787. The biggest common factor number is the GCF number.
So the greatest common factor 17775 and 17787 is 3.

Also check out the Least Common Multiple of 17775 and 17787