What is the Greatest Common Factor of 21522 and 21540?

Greatest common factor (GCF) of 21522 and 21540 is 6.

GCF(21522,21540) = 6

We will now calculate the prime factors of 21522 and 21540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21522 and 21540.

How to find the GCF of 21522 and 21540?

We will first find the prime factorization of 21522 and 21540. After we will calculate the factors of 21522 and 21540 and find the biggest common factor number .

Step-1: Prime Factorization of 21522

Prime factors of 21522 are 2, 3, 17, 211. Prime factorization of 21522 in exponential form is:

21522 = 2¹ × 3¹ × 17¹ × 211¹

Step-2: 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-3: Factors of 21522

List of positive integer factors of 21522 that divides 21522 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 211, 422, 633, 1266, 3587, 7174, 10761

Step-4: Factors of 21540

List of positive integer factors of 21540 that divides 21522 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21522 and 21540. The biggest common factor number is the GCF number.
So the greatest common factor 21522 and 21540 is 6.

Also check out the Least Common Multiple of 21522 and 21540