What is the Greatest Common Factor of 99725 and 99745?

Greatest common factor (GCF) of 99725 and 99745 is 5.

GCF(99725,99745) = 5

We will now calculate the prime factors of 99725 and 99745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99725 and 99745.

How to find the GCF of 99725 and 99745?

We will first find the prime factorization of 99725 and 99745. After we will calculate the factors of 99725 and 99745 and find the biggest common factor number .

Step-1: Prime Factorization of 99725

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

99725 = 5² × 3989¹

Step-2: Prime Factorization of 99745

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

99745 = 5¹ × 19949¹

Step-3: Factors of 99725

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

1, 5, 25, 3989, 19945

Step-4: Factors of 99745

List of positive integer factors of 99745 that divides 99725 without a remainder.

1, 5, 19949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99725 and 99745. The biggest common factor number is the GCF number.
So the greatest common factor 99725 and 99745 is 5.

Also check out the Least Common Multiple of 99725 and 99745