What is the Greatest Common Factor of 21500 and 21510?

Greatest common factor (GCF) of 21500 and 21510 is 10.

GCF(21500,21510) = 10

We will now calculate the prime factors of 21500 and 21510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21500 and 21510.

How to find the GCF of 21500 and 21510?

We will first find the prime factorization of 21500 and 21510. After we will calculate the factors of 21500 and 21510 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21510

Prime factors of 21510 are 2, 3, 5, 239. Prime factorization of 21510 in exponential form is:

21510 = 2¹ × 3² × 5¹ × 239¹

Step-3: Factors of 21500

List of positive integer factors of 21500 that divides 21500 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

Step-4: Factors of 21510

List of positive integer factors of 21510 that divides 21500 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 239, 478, 717, 1195, 1434, 2151, 2390, 3585, 4302, 7170, 10755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21500 and 21510. The biggest common factor number is the GCF number.
So the greatest common factor 21500 and 21510 is 10.

Also check out the Least Common Multiple of 21500 and 21510