What is the Greatest Common Factor of 18756 and 18768?

Greatest common factor (GCF) of 18756 and 18768 is 12.

GCF(18756,18768) = 12

We will now calculate the prime factors of 18756 and 18768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18756 and 18768.

How to find the GCF of 18756 and 18768?

We will first find the prime factorization of 18756 and 18768. After we will calculate the factors of 18756 and 18768 and find the biggest common factor number .

Step-1: Prime Factorization of 18756

Prime factors of 18756 are 2, 3, 521. Prime factorization of 18756 in exponential form is:

18756 = 2² × 3² × 521¹

Step-2: Prime Factorization of 18768

Prime factors of 18768 are 2, 3, 17, 23. Prime factorization of 18768 in exponential form is:

18768 = 2⁴ × 3¹ × 17¹ × 23¹

Step-3: Factors of 18756

List of positive integer factors of 18756 that divides 18756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 521, 1042, 1563, 2084, 3126, 4689, 6252, 9378

Step-4: Factors of 18768

List of positive integer factors of 18768 that divides 18756 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 34, 46, 48, 51, 68, 69, 92, 102, 136, 138, 184, 204, 272, 276, 368, 391, 408, 552, 782, 816, 1104, 1173, 1564, 2346, 3128, 4692, 6256, 9384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18756 and 18768. The biggest common factor number is the GCF number.
So the greatest common factor 18756 and 18768 is 12.

Also check out the Least Common Multiple of 18756 and 18768