What is the Greatest Common Factor of 21230 and 21250?

Greatest common factor (GCF) of 21230 and 21250 is 10.

GCF(21230,21250) = 10

We will now calculate the prime factors of 21230 and 21250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21230 and 21250.

How to find the GCF of 21230 and 21250?

We will first find the prime factorization of 21230 and 21250. After we will calculate the factors of 21230 and 21250 and find the biggest common factor number .

Step-1: Prime Factorization of 21230

Prime factors of 21230 are 2, 5, 11, 193. Prime factorization of 21230 in exponential form is:

21230 = 2¹ × 5¹ × 11¹ × 193¹

Step-2: Prime Factorization of 21250

Prime factors of 21250 are 2, 5, 17. Prime factorization of 21250 in exponential form is:

21250 = 2¹ × 5⁴ × 17¹

Step-3: Factors of 21230

List of positive integer factors of 21230 that divides 21230 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 193, 386, 965, 1930, 2123, 4246, 10615

Step-4: Factors of 21250

List of positive integer factors of 21250 that divides 21230 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 625, 850, 1250, 2125, 4250, 10625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21230 and 21250. The biggest common factor number is the GCF number.
So the greatest common factor 21230 and 21250 is 10.

Also check out the Least Common Multiple of 21230 and 21250