What is the Greatest Common Factor of 99085 and 99105?

Greatest common factor (GCF) of 99085 and 99105 is 5.

GCF(99085,99105) = 5

We will now calculate the prime factors of 99085 and 99105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99085 and 99105.

How to find the GCF of 99085 and 99105?

We will first find the prime factorization of 99085 and 99105. After we will calculate the factors of 99085 and 99105 and find the biggest common factor number .

Step-1: Prime Factorization of 99085

Prime factors of 99085 are 5, 7, 19, 149. Prime factorization of 99085 in exponential form is:

99085 = 5¹ × 7¹ × 19¹ × 149¹

Step-2: Prime Factorization of 99105

Prime factors of 99105 are 3, 5, 6607. Prime factorization of 99105 in exponential form is:

99105 = 3¹ × 5¹ × 6607¹

Step-3: Factors of 99085

List of positive integer factors of 99085 that divides 99085 without a remainder.

1, 5, 7, 19, 35, 95, 133, 149, 665, 745, 1043, 2831, 5215, 14155, 19817

Step-4: Factors of 99105

List of positive integer factors of 99105 that divides 99085 without a remainder.

1, 3, 5, 15, 6607, 19821, 33035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99085 and 99105. The biggest common factor number is the GCF number.
So the greatest common factor 99085 and 99105 is 5.

Also check out the Least Common Multiple of 99085 and 99105