What is the Greatest Common Factor of 99234 and 99250?

Greatest common factor (GCF) of 99234 and 99250 is 2.

GCF(99234,99250) = 2

We will now calculate the prime factors of 99234 and 99250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99234 and 99250.

How to find the GCF of 99234 and 99250?

We will first find the prime factorization of 99234 and 99250. After we will calculate the factors of 99234 and 99250 and find the biggest common factor number .

Step-1: Prime Factorization of 99234

Prime factors of 99234 are 2, 3, 37, 149. Prime factorization of 99234 in exponential form is:

99234 = 2¹ × 3² × 37¹ × 149¹

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 99234

List of positive integer factors of 99234 that divides 99234 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 149, 222, 298, 333, 447, 666, 894, 1341, 2682, 5513, 11026, 16539, 33078, 49617

Step-4: Factors of 99250

List of positive integer factors of 99250 that divides 99234 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 99234 and 99250. The biggest common factor number is the GCF number.
So the greatest common factor 99234 and 99250 is 2.

Also check out the Least Common Multiple of 99234 and 99250