What is the Greatest Common Factor of 99475 and 99495?

Greatest common factor (GCF) of 99475 and 99495 is 5.

GCF(99475,99495) = 5

We will now calculate the prime factors of 99475 and 99495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99475 and 99495.

How to find the GCF of 99475 and 99495?

We will first find the prime factorization of 99475 and 99495. After we will calculate the factors of 99475 and 99495 and find the biggest common factor number .

Step-1: Prime Factorization of 99475

Prime factors of 99475 are 5, 23, 173. Prime factorization of 99475 in exponential form is:

99475 = 5² × 23¹ × 173¹

Step-2: Prime Factorization of 99495

Prime factors of 99495 are 3, 5, 11, 67. Prime factorization of 99495 in exponential form is:

99495 = 3³ × 5¹ × 11¹ × 67¹

Step-3: Factors of 99475

List of positive integer factors of 99475 that divides 99475 without a remainder.

1, 5, 23, 25, 115, 173, 575, 865, 3979, 4325, 19895

Step-4: Factors of 99495

List of positive integer factors of 99495 that divides 99475 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 67, 99, 135, 165, 201, 297, 335, 495, 603, 737, 1005, 1485, 1809, 2211, 3015, 3685, 6633, 9045, 11055, 19899, 33165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99475 and 99495. The biggest common factor number is the GCF number.
So the greatest common factor 99475 and 99495 is 5.

Also check out the Least Common Multiple of 99475 and 99495