What is the Greatest Common Factor of 21744 and 21748?

Greatest common factor (GCF) of 21744 and 21748 is 4.

GCF(21744,21748) = 4

We will now calculate the prime factors of 21744 and 21748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21744 and 21748.

How to find the GCF of 21744 and 21748?

We will first find the prime factorization of 21744 and 21748. After we will calculate the factors of 21744 and 21748 and find the biggest common factor number .

Step-1: Prime Factorization of 21744

Prime factors of 21744 are 2, 3, 151. Prime factorization of 21744 in exponential form is:

21744 = 2⁴ × 3² × 151¹

Step-2: Prime Factorization of 21748

Prime factors of 21748 are 2, 5437. Prime factorization of 21748 in exponential form is:

21748 = 2² × 5437¹

Step-3: Factors of 21744

List of positive integer factors of 21744 that divides 21744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 151, 302, 453, 604, 906, 1208, 1359, 1812, 2416, 2718, 3624, 5436, 7248, 10872

Step-4: Factors of 21748

List of positive integer factors of 21748 that divides 21744 without a remainder.

1, 2, 4, 5437, 10874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21744 and 21748. The biggest common factor number is the GCF number.
So the greatest common factor 21744 and 21748 is 4.

Also check out the Least Common Multiple of 21744 and 21748