What is the Greatest Common Factor of 11712 and 11727?

Greatest common factor (GCF) of 11712 and 11727 is 3.

GCF(11712,11727) = 3

We will now calculate the prime factors of 11712 and 11727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11712 and 11727.

How to find the GCF of 11712 and 11727?

We will first find the prime factorization of 11712 and 11727. After we will calculate the factors of 11712 and 11727 and find the biggest common factor number .

Step-1: Prime Factorization of 11712

Prime factors of 11712 are 2, 3, 61. Prime factorization of 11712 in exponential form is:

11712 = 2⁶ × 3¹ × 61¹

Step-2: Prime Factorization of 11727

Prime factors of 11727 are 3, 1303. Prime factorization of 11727 in exponential form is:

11727 = 3² × 1303¹

Step-3: Factors of 11712

List of positive integer factors of 11712 that divides 11712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 183, 192, 244, 366, 488, 732, 976, 1464, 1952, 2928, 3904, 5856

Step-4: Factors of 11727

List of positive integer factors of 11727 that divides 11712 without a remainder.

1, 3, 9, 1303, 3909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11712 and 11727. The biggest common factor number is the GCF number.
So the greatest common factor 11712 and 11727 is 3.

Also check out the Least Common Multiple of 11712 and 11727