What is the Greatest Common Factor of 10755 and 10770?

Greatest common factor (GCF) of 10755 and 10770 is 15.

GCF(10755,10770) = 15

We will now calculate the prime factors of 10755 and 10770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10755 and 10770.

How to find the GCF of 10755 and 10770?

We will first find the prime factorization of 10755 and 10770. After we will calculate the factors of 10755 and 10770 and find the biggest common factor number .

Step-1: Prime Factorization of 10755

Prime factors of 10755 are 3, 5, 239. Prime factorization of 10755 in exponential form is:

10755 = 3² × 5¹ × 239¹

Step-2: Prime Factorization of 10770

Prime factors of 10770 are 2, 3, 5, 359. Prime factorization of 10770 in exponential form is:

10770 = 2¹ × 3¹ × 5¹ × 359¹

Step-3: Factors of 10755

List of positive integer factors of 10755 that divides 10755 without a remainder.

1, 3, 5, 9, 15, 45, 239, 717, 1195, 2151, 3585

Step-4: Factors of 10770

List of positive integer factors of 10770 that divides 10755 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 359, 718, 1077, 1795, 2154, 3590, 5385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10755 and 10770. The biggest common factor number is the GCF number.
So the greatest common factor 10755 and 10770 is 15.

Also check out the Least Common Multiple of 10755 and 10770