What is the Greatest Common Factor of 99705 and 99725?

Greatest common factor (GCF) of 99705 and 99725 is 5.

GCF(99705,99725) = 5

We will now calculate the prime factors of 99705 and 99725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99705 and 99725.

How to find the GCF of 99705 and 99725?

We will first find the prime factorization of 99705 and 99725. After we will calculate the factors of 99705 and 99725 and find the biggest common factor number .

Step-1: Prime Factorization of 99705

Prime factors of 99705 are 3, 5, 17, 23. Prime factorization of 99705 in exponential form is:

99705 = 3¹ × 5¹ × 17² × 23¹

Step-2: Prime Factorization of 99725

Prime factors of 99725 are 5, 3989. Prime factorization of 99725 in exponential form is:

99725 = 5² × 3989¹

Step-3: Factors of 99705

List of positive integer factors of 99705 that divides 99705 without a remainder.

1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 289, 345, 391, 867, 1173, 1445, 1955, 4335, 5865, 6647, 19941, 33235

Step-4: Factors of 99725

List of positive integer factors of 99725 that divides 99705 without a remainder.

1, 5, 25, 3989, 19945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99705 and 99725. The biggest common factor number is the GCF number.
So the greatest common factor 99705 and 99725 is 5.

Also check out the Least Common Multiple of 99705 and 99725