What is the Greatest Common Factor of 11700 and 11712?

Greatest common factor (GCF) of 11700 and 11712 is 12.

GCF(11700,11712) = 12

We will now calculate the prime factors of 11700 and 11712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11700 and 11712.

How to find the GCF of 11700 and 11712?

We will first find the prime factorization of 11700 and 11712. After we will calculate the factors of 11700 and 11712 and find the biggest common factor number .

Step-1: Prime Factorization of 11700

Prime factors of 11700 are 2, 3, 5, 13. Prime factorization of 11700 in exponential form is:

11700 = 2² × 3² × 5² × 13¹

Step-2: 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-3: Factors of 11700

List of positive integer factors of 11700 that divides 11700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 25, 26, 30, 36, 39, 45, 50, 52, 60, 65, 75, 78, 90, 100, 117, 130, 150, 156, 180, 195, 225, 234, 260, 300, 325, 390, 450, 468, 585, 650, 780, 900, 975, 1170, 1300, 1950, 2340, 2925, 3900, 5850

Step-4: Factors of 11712

List of positive integer factors of 11712 that divides 11700 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11700 and 11712. The biggest common factor number is the GCF number.
So the greatest common factor 11700 and 11712 is 12.

Also check out the Least Common Multiple of 11700 and 11712