What is the Greatest Common Factor of 11430 and 11445?

Greatest common factor (GCF) of 11430 and 11445 is 15.

GCF(11430,11445) = 15

We will now calculate the prime factors of 11430 and 11445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11430 and 11445.

How to find the GCF of 11430 and 11445?

We will first find the prime factorization of 11430 and 11445. After we will calculate the factors of 11430 and 11445 and find the biggest common factor number .

Step-1: Prime Factorization of 11430

Prime factors of 11430 are 2, 3, 5, 127. Prime factorization of 11430 in exponential form is:

11430 = 2¹ × 3² × 5¹ × 127¹

Step-2: Prime Factorization of 11445

Prime factors of 11445 are 3, 5, 7, 109. Prime factorization of 11445 in exponential form is:

11445 = 3¹ × 5¹ × 7¹ × 109¹

Step-3: Factors of 11430

List of positive integer factors of 11430 that divides 11430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 127, 254, 381, 635, 762, 1143, 1270, 1905, 2286, 3810, 5715

Step-4: Factors of 11445

List of positive integer factors of 11445 that divides 11430 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 109, 327, 545, 763, 1635, 2289, 3815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11430 and 11445. The biggest common factor number is the GCF number.
So the greatest common factor 11430 and 11445 is 15.

Also check out the Least Common Multiple of 11430 and 11445