What is the Greatest Common Factor of 23772 and 23784?

Greatest common factor (GCF) of 23772 and 23784 is 12.

GCF(23772,23784) = 12

We will now calculate the prime factors of 23772 and 23784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23772 and 23784.

How to find the GCF of 23772 and 23784?

We will first find the prime factorization of 23772 and 23784. After we will calculate the factors of 23772 and 23784 and find the biggest common factor number .

Step-1: Prime Factorization of 23772

Prime factors of 23772 are 2, 3, 7, 283. Prime factorization of 23772 in exponential form is:

23772 = 2² × 3¹ × 7¹ × 283¹

Step-2: Prime Factorization of 23784

Prime factors of 23784 are 2, 3, 991. Prime factorization of 23784 in exponential form is:

23784 = 2³ × 3¹ × 991¹

Step-3: Factors of 23772

List of positive integer factors of 23772 that divides 23772 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 283, 566, 849, 1132, 1698, 1981, 3396, 3962, 5943, 7924, 11886

Step-4: Factors of 23784

List of positive integer factors of 23784 that divides 23772 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 991, 1982, 2973, 3964, 5946, 7928, 11892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23772 and 23784. The biggest common factor number is the GCF number.
So the greatest common factor 23772 and 23784 is 12.

Also check out the Least Common Multiple of 23772 and 23784