What is the Greatest Common Factor of 99858 and 99875?

Greatest common factor (GCF) of 99858 and 99875 is 17.

GCF(99858,99875) = 17

We will now calculate the prime factors of 99858 and 99875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99858 and 99875.

How to find the GCF of 99858 and 99875?

We will first find the prime factorization of 99858 and 99875. After we will calculate the factors of 99858 and 99875 and find the biggest common factor number .

Step-1: Prime Factorization of 99858

Prime factors of 99858 are 2, 3, 11, 17, 89. Prime factorization of 99858 in exponential form is:

99858 = 2¹ × 3¹ × 11¹ × 17¹ × 89¹

Step-2: Prime Factorization of 99875

Prime factors of 99875 are 5, 17, 47. Prime factorization of 99875 in exponential form is:

99875 = 5³ × 17¹ × 47¹

Step-3: Factors of 99858

List of positive integer factors of 99858 that divides 99858 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 89, 102, 178, 187, 267, 374, 534, 561, 979, 1122, 1513, 1958, 2937, 3026, 4539, 5874, 9078, 16643, 33286, 49929

Step-4: Factors of 99875

List of positive integer factors of 99875 that divides 99858 without a remainder.

1, 5, 17, 25, 47, 85, 125, 235, 425, 799, 1175, 2125, 3995, 5875, 19975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99858 and 99875. The biggest common factor number is the GCF number.
So the greatest common factor 99858 and 99875 is 17.

Also check out the Least Common Multiple of 99858 and 99875