What is the Greatest Common Factor of 11415 and 11427?

Greatest common factor (GCF) of 11415 and 11427 is 3.

GCF(11415,11427) = 3

We will now calculate the prime factors of 11415 and 11427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11415 and 11427.

How to find the GCF of 11415 and 11427?

We will first find the prime factorization of 11415 and 11427. After we will calculate the factors of 11415 and 11427 and find the biggest common factor number .

Step-1: Prime Factorization of 11415

Prime factors of 11415 are 3, 5, 761. Prime factorization of 11415 in exponential form is:

11415 = 3¹ × 5¹ × 761¹

Step-2: Prime Factorization of 11427

Prime factors of 11427 are 3, 13, 293. Prime factorization of 11427 in exponential form is:

11427 = 3¹ × 13¹ × 293¹

Step-3: Factors of 11415

List of positive integer factors of 11415 that divides 11415 without a remainder.

1, 3, 5, 15, 761, 2283, 3805

Step-4: Factors of 11427

List of positive integer factors of 11427 that divides 11415 without a remainder.

1, 3, 13, 39, 293, 879, 3809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11415 and 11427. The biggest common factor number is the GCF number.
So the greatest common factor 11415 and 11427 is 3.

Also check out the Least Common Multiple of 11415 and 11427