What is the Greatest Common Factor of 21532 and 21540?

Greatest common factor (GCF) of 21532 and 21540 is 4.

GCF(21532,21540) = 4

We will now calculate the prime factors of 21532 and 21540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21532 and 21540.

How to find the GCF of 21532 and 21540?

We will first find the prime factorization of 21532 and 21540. After we will calculate the factors of 21532 and 21540 and find the biggest common factor number .

Step-1: Prime Factorization of 21532

Prime factors of 21532 are 2, 7, 769. Prime factorization of 21532 in exponential form is:

21532 = 2² × 7¹ × 769¹

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 21532

List of positive integer factors of 21532 that divides 21532 without a remainder.

1, 2, 4, 7, 14, 28, 769, 1538, 3076, 5383, 10766

Step-4: Factors of 21540

List of positive integer factors of 21540 that divides 21532 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 21532 and 21540. The biggest common factor number is the GCF number.
So the greatest common factor 21532 and 21540 is 4.

Also check out the Least Common Multiple of 21532 and 21540