What is the Greatest Common Factor of 11145 and 11160?

Greatest common factor (GCF) of 11145 and 11160 is 15.

GCF(11145,11160) = 15

We will now calculate the prime factors of 11145 and 11160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11145 and 11160.

How to find the GCF of 11145 and 11160?

We will first find the prime factorization of 11145 and 11160. After we will calculate the factors of 11145 and 11160 and find the biggest common factor number .

Step-1: Prime Factorization of 11145

Prime factors of 11145 are 3, 5, 743. Prime factorization of 11145 in exponential form is:

11145 = 3¹ × 5¹ × 743¹

Step-2: Prime Factorization of 11160

Prime factors of 11160 are 2, 3, 5, 31. Prime factorization of 11160 in exponential form is:

11160 = 2³ × 3² × 5¹ × 31¹

Step-3: Factors of 11145

List of positive integer factors of 11145 that divides 11145 without a remainder.

1, 3, 5, 15, 743, 2229, 3715

Step-4: Factors of 11160

List of positive integer factors of 11160 that divides 11145 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 31, 36, 40, 45, 60, 62, 72, 90, 93, 120, 124, 155, 180, 186, 248, 279, 310, 360, 372, 465, 558, 620, 744, 930, 1116, 1240, 1395, 1860, 2232, 2790, 3720, 5580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11145 and 11160. The biggest common factor number is the GCF number.
So the greatest common factor 11145 and 11160 is 15.

Also check out the Least Common Multiple of 11145 and 11160