What is the Greatest Common Factor of 99875 and 99892?

Greatest common factor (GCF) of 99875 and 99892 is 17.

GCF(99875,99892) = 17

We will now calculate the prime factors of 99875 and 99892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99875 and 99892.

How to find the GCF of 99875 and 99892?

We will first find the prime factorization of 99875 and 99892. After we will calculate the factors of 99875 and 99892 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99892

Prime factors of 99892 are 2, 13, 17, 113. Prime factorization of 99892 in exponential form is:

99892 = 2² × 13¹ × 17¹ × 113¹

Step-3: Factors of 99875

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

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

Step-4: Factors of 99892

List of positive integer factors of 99892 that divides 99875 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 113, 221, 226, 442, 452, 884, 1469, 1921, 2938, 3842, 5876, 7684, 24973, 49946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99875 and 99892. The biggest common factor number is the GCF number.
So the greatest common factor 99875 and 99892 is 17.

Also check out the Least Common Multiple of 99875 and 99892