What is the Greatest Common Factor of 21540 and 21544?

Greatest common factor (GCF) of 21540 and 21544 is 4.

GCF(21540,21544) = 4

We will now calculate the prime factors of 21540 and 21544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21540 and 21544.

How to find the GCF of 21540 and 21544?

We will first find the prime factorization of 21540 and 21544. After we will calculate the factors of 21540 and 21544 and find the biggest common factor number .

Step-1: Prime Factorization of 21540

Prime factors of 21540 are 2, 3, 5, 359. Prime factorization of 21540 in exponential form is:

21540 = 2² × 3¹ × 5¹ × 359¹

Step-2: Prime Factorization of 21544

Prime factors of 21544 are 2, 2693. Prime factorization of 21544 in exponential form is:

21544 = 2³ × 2693¹

Step-3: Factors of 21540

List of positive integer factors of 21540 that divides 21540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 359, 718, 1077, 1436, 1795, 2154, 3590, 4308, 5385, 7180, 10770

Step-4: Factors of 21544

List of positive integer factors of 21544 that divides 21540 without a remainder.

1, 2, 4, 8, 2693, 5386, 10772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21540 and 21544. The biggest common factor number is the GCF number.
So the greatest common factor 21540 and 21544 is 4.

Also check out the Least Common Multiple of 21540 and 21544