What is the Greatest Common Factor of 18768 and 18780?

Greatest common factor (GCF) of 18768 and 18780 is 12.

GCF(18768,18780) = 12

We will now calculate the prime factors of 18768 and 18780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18768 and 18780.

How to find the GCF of 18768 and 18780?

We will first find the prime factorization of 18768 and 18780. After we will calculate the factors of 18768 and 18780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18780

Prime factors of 18780 are 2, 3, 5, 313. Prime factorization of 18780 in exponential form is:

18780 = 2² × 3¹ × 5¹ × 313¹

Step-3: Factors of 18768

List of positive integer factors of 18768 that divides 18768 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

Step-4: Factors of 18780

List of positive integer factors of 18780 that divides 18768 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 313, 626, 939, 1252, 1565, 1878, 3130, 3756, 4695, 6260, 9390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18768 and 18780. The biggest common factor number is the GCF number.
So the greatest common factor 18768 and 18780 is 12.

Also check out the Least Common Multiple of 18768 and 18780