What is the Greatest Common Factor of 99749 and 99765?

Greatest common factor (GCF) of 99749 and 99765 is 1.

GCF(99749,99765) = 1

We will now calculate the prime factors of 99749 and 99765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99749 and 99765.

How to find the GCF of 99749 and 99765?

We will first find the prime factorization of 99749 and 99765. After we will calculate the factors of 99749 and 99765 and find the biggest common factor number .

Step-1: Prime Factorization of 99749

Prime factors of 99749 are 13, 7673. Prime factorization of 99749 in exponential form is:

99749 = 13¹ × 7673¹

Step-2: Prime Factorization of 99765

Prime factors of 99765 are 3, 5, 739. Prime factorization of 99765 in exponential form is:

99765 = 3³ × 5¹ × 739¹

Step-3: Factors of 99749

List of positive integer factors of 99749 that divides 99749 without a remainder.

1, 13, 7673

Step-4: Factors of 99765

List of positive integer factors of 99765 that divides 99749 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 739, 2217, 3695, 6651, 11085, 19953, 33255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99749 and 99765. The biggest common factor number is the GCF number.
So the greatest common factor 99749 and 99765 is 1.

Also check out the Least Common Multiple of 99749 and 99765