What is the Greatest Common Factor of 99230 and 99250?

Greatest common factor (GCF) of 99230 and 99250 is 10.

GCF(99230,99250) = 10

We will now calculate the prime factors of 99230 and 99250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99230 and 99250.

How to find the GCF of 99230 and 99250?

We will first find the prime factorization of 99230 and 99250. After we will calculate the factors of 99230 and 99250 and find the biggest common factor number .

Step-1: Prime Factorization of 99230

Prime factors of 99230 are 2, 5, 9923. Prime factorization of 99230 in exponential form is:

99230 = 2¹ × 5¹ × 9923¹

Step-2: Prime Factorization of 99250

Prime factors of 99250 are 2, 5, 397. Prime factorization of 99250 in exponential form is:

99250 = 2¹ × 5³ × 397¹

Step-3: Factors of 99230

List of positive integer factors of 99230 that divides 99230 without a remainder.

1, 2, 5, 10, 9923, 19846, 49615

Step-4: Factors of 99250

List of positive integer factors of 99250 that divides 99230 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 397, 794, 1985, 3970, 9925, 19850, 49625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99230 and 99250. The biggest common factor number is the GCF number.
So the greatest common factor 99230 and 99250 is 10.

Also check out the Least Common Multiple of 99230 and 99250