What is the Greatest Common Factor of 99729 and 99733?

Greatest common factor (GCF) of 99729 and 99733 is 1.

GCF(99729,99733) = 1

We will now calculate the prime factors of 99729 and 99733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99729 and 99733.

How to find the GCF of 99729 and 99733?

We will first find the prime factorization of 99729 and 99733. After we will calculate the factors of 99729 and 99733 and find the biggest common factor number .

Step-1: Prime Factorization of 99729

Prime factors of 99729 are 3, 7, 1583. Prime factorization of 99729 in exponential form is:

99729 = 3² × 7¹ × 1583¹

Step-2: Prime Factorization of 99733

Prime factors of 99733 are 99733. Prime factorization of 99733 in exponential form is:

99733 = 99733¹

Step-3: Factors of 99729

List of positive integer factors of 99729 that divides 99729 without a remainder.

1, 3, 7, 9, 21, 63, 1583, 4749, 11081, 14247, 33243

Step-4: Factors of 99733

List of positive integer factors of 99733 that divides 99729 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99729 and 99733. The biggest common factor number is the GCF number.
So the greatest common factor 99729 and 99733 is 1.

Also check out the Least Common Multiple of 99729 and 99733