What is the Greatest Common Factor of 99745 and 99759?

Greatest common factor (GCF) of 99745 and 99759 is 1.

GCF(99745,99759) = 1

We will now calculate the prime factors of 99745 and 99759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99745 and 99759.

How to find the GCF of 99745 and 99759?

We will first find the prime factorization of 99745 and 99759. After we will calculate the factors of 99745 and 99759 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 99759

Prime factors of 99759 are 3, 11, 3023. Prime factorization of 99759 in exponential form is:

99759 = 3¹ × 11¹ × 3023¹

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 99759

List of positive integer factors of 99759 that divides 99745 without a remainder.

1, 3, 11, 33, 3023, 9069, 33253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99745 and 99759. The biggest common factor number is the GCF number.
So the greatest common factor 99745 and 99759 is 1.

Also check out the Least Common Multiple of 99745 and 99759