What is the Greatest Common Factor of 21748 and 21752?

Greatest common factor (GCF) of 21748 and 21752 is 4.

GCF(21748,21752) = 4

We will now calculate the prime factors of 21748 and 21752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21748 and 21752.

How to find the GCF of 21748 and 21752?

We will first find the prime factorization of 21748 and 21752. After we will calculate the factors of 21748 and 21752 and find the biggest common factor number .

Step-1: Prime Factorization of 21748

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

21748 = 2² × 5437¹

Step-2: Prime Factorization of 21752

Prime factors of 21752 are 2, 2719. Prime factorization of 21752 in exponential form is:

21752 = 2³ × 2719¹

Step-3: Factors of 21748

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

1, 2, 4, 5437, 10874

Step-4: Factors of 21752

List of positive integer factors of 21752 that divides 21748 without a remainder.

1, 2, 4, 8, 2719, 5438, 10876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21748 and 21752. The biggest common factor number is the GCF number.
So the greatest common factor 21748 and 21752 is 4.

Also check out the Least Common Multiple of 21748 and 21752