What is the Greatest Common Factor of 21490 and 21500?

Greatest common factor (GCF) of 21490 and 21500 is 10.

GCF(21490,21500) = 10

We will now calculate the prime factors of 21490 and 21500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21490 and 21500.

How to find the GCF of 21490 and 21500?

We will first find the prime factorization of 21490 and 21500. After we will calculate the factors of 21490 and 21500 and find the biggest common factor number .

Step-1: Prime Factorization of 21490

Prime factors of 21490 are 2, 5, 7, 307. Prime factorization of 21490 in exponential form is:

21490 = 2¹ × 5¹ × 7¹ × 307¹

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 21490

List of positive integer factors of 21490 that divides 21490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 307, 614, 1535, 2149, 3070, 4298, 10745

Step-4: Factors of 21500

List of positive integer factors of 21500 that divides 21490 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 21490 and 21500. The biggest common factor number is the GCF number.
So the greatest common factor 21490 and 21500 is 10.

Also check out the Least Common Multiple of 21490 and 21500