What is the Greatest Common Factor of 11445 and 11459?

Greatest common factor (GCF) of 11445 and 11459 is 7.

GCF(11445,11459) = 7

We will now calculate the prime factors of 11445 and 11459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11445 and 11459.

How to find the GCF of 11445 and 11459?

We will first find the prime factorization of 11445 and 11459. After we will calculate the factors of 11445 and 11459 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11459

Prime factors of 11459 are 7, 1637. Prime factorization of 11459 in exponential form is:

11459 = 7¹ × 1637¹

Step-3: Factors of 11445

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

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

Step-4: Factors of 11459

List of positive integer factors of 11459 that divides 11445 without a remainder.

1, 7, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11445 and 11459. The biggest common factor number is the GCF number.
So the greatest common factor 11445 and 11459 is 7.

Also check out the Least Common Multiple of 11445 and 11459