What is the Greatest Common Factor of 21480 and 21500?

Greatest common factor (GCF) of 21480 and 21500 is 20.

GCF(21480,21500) = 20

We will now calculate the prime factors of 21480 and 21500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21480 and 21500.

How to find the GCF of 21480 and 21500?

We will first find the prime factorization of 21480 and 21500. After we will calculate the factors of 21480 and 21500 and find the biggest common factor number .

Step-1: Prime Factorization of 21480

Prime factors of 21480 are 2, 3, 5, 179. Prime factorization of 21480 in exponential form is:

21480 = 2³ × 3¹ × 5¹ × 179¹

Step-2: Prime Factorization of 21500

Prime factors of 21500 are 2, 5, 43. Prime factorization of 21500 in exponential form is:

21500 = 2² × 5³ × 43¹

Step-3: Factors of 21480

List of positive integer factors of 21480 that divides 21480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 179, 358, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 3580, 4296, 5370, 7160, 10740

Step-4: Factors of 21500

List of positive integer factors of 21500 that divides 21480 without a remainder.

1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 125, 172, 215, 250, 430, 500, 860, 1075, 2150, 4300, 5375, 10750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21480 and 21500. The biggest common factor number is the GCF number.
So the greatest common factor 21480 and 21500 is 20.

Also check out the Least Common Multiple of 21480 and 21500