What is the Greatest Common Factor of 99250 and 99255?

Greatest common factor (GCF) of 99250 and 99255 is 5.

GCF(99250,99255) = 5

We will now calculate the prime factors of 99250 and 99255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99250 and 99255.

How to find the GCF of 99250 and 99255?

We will first find the prime factorization of 99250 and 99255. After we will calculate the factors of 99250 and 99255 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99255

Prime factors of 99255 are 3, 5, 13, 509. Prime factorization of 99255 in exponential form is:

99255 = 3¹ × 5¹ × 13¹ × 509¹

Step-3: Factors of 99250

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

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

Step-4: Factors of 99255

List of positive integer factors of 99255 that divides 99250 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 509, 1527, 2545, 6617, 7635, 19851, 33085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99250 and 99255. The biggest common factor number is the GCF number.
So the greatest common factor 99250 and 99255 is 5.

Also check out the Least Common Multiple of 99250 and 99255