What is the Greatest Common Factor of 99745 and 99765?

Greatest common factor (GCF) of 99745 and 99765 is 5.

GCF(99745,99765) = 5

We will now calculate the prime factors of 99745 and 99765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99745 and 99765.

How to find the GCF of 99745 and 99765?

We will first find the prime factorization of 99745 and 99765. After we will calculate the factors of 99745 and 99765 and find the biggest common factor number .

Step-1: Prime Factorization of 99745

Prime factors of 99745 are 5, 19949. Prime factorization of 99745 in exponential form is:

99745 = 5¹ × 19949¹

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 99745

List of positive integer factors of 99745 that divides 99745 without a remainder.

1, 5, 19949

Step-4: Factors of 99765

List of positive integer factors of 99765 that divides 99745 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 99745 and 99765. The biggest common factor number is the GCF number.
So the greatest common factor 99745 and 99765 is 5.

Also check out the Least Common Multiple of 99745 and 99765