What is the Greatest Common Factor of 99275 and 99285?

Greatest common factor (GCF) of 99275 and 99285 is 5.

GCF(99275,99285) = 5

We will now calculate the prime factors of 99275 and 99285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99275 and 99285.

How to find the GCF of 99275 and 99285?

We will first find the prime factorization of 99275 and 99285. After we will calculate the factors of 99275 and 99285 and find the biggest common factor number .

Step-1: Prime Factorization of 99275

Prime factors of 99275 are 5, 11, 19. Prime factorization of 99275 in exponential form is:

99275 = 5² × 11¹ × 19²

Step-2: Prime Factorization of 99285

Prime factors of 99285 are 3, 5, 6619. Prime factorization of 99285 in exponential form is:

99285 = 3¹ × 5¹ × 6619¹

Step-3: Factors of 99275

List of positive integer factors of 99275 that divides 99275 without a remainder.

1, 5, 11, 19, 25, 55, 95, 209, 275, 361, 475, 1045, 1805, 3971, 5225, 9025, 19855

Step-4: Factors of 99285

List of positive integer factors of 99285 that divides 99275 without a remainder.

1, 3, 5, 15, 6619, 19857, 33095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99275 and 99285. The biggest common factor number is the GCF number.
So the greatest common factor 99275 and 99285 is 5.

Also check out the Least Common Multiple of 99275 and 99285