What is the Greatest Common Factor of 21540 and 21550?

Greatest common factor (GCF) of 21540 and 21550 is 10.

GCF(21540,21550) = 10

We will now calculate the prime factors of 21540 and 21550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21540 and 21550.

How to find the GCF of 21540 and 21550?

We will first find the prime factorization of 21540 and 21550. After we will calculate the factors of 21540 and 21550 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 21550

Prime factors of 21550 are 2, 5, 431. Prime factorization of 21550 in exponential form is:

21550 = 2¹ × 5² × 431¹

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 21550

List of positive integer factors of 21550 that divides 21540 without a remainder.

1, 2, 5, 10, 25, 50, 431, 862, 2155, 4310, 10775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21540 and 21550. The biggest common factor number is the GCF number.
So the greatest common factor 21540 and 21550 is 10.

Also check out the Least Common Multiple of 21540 and 21550