What is the Greatest Common Factor of 99015 and 99035?

Greatest common factor (GCF) of 99015 and 99035 is 5.

GCF(99015,99035) = 5

We will now calculate the prime factors of 99015 and 99035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99015 and 99035.

How to find the GCF of 99015 and 99035?

We will first find the prime factorization of 99015 and 99035. After we will calculate the factors of 99015 and 99035 and find the biggest common factor number .

Step-1: Prime Factorization of 99015

Prime factors of 99015 are 3, 5, 7, 23, 41. Prime factorization of 99015 in exponential form is:

99015 = 3¹ × 5¹ × 7¹ × 23¹ × 41¹

Step-2: Prime Factorization of 99035

Prime factors of 99035 are 5, 29, 683. Prime factorization of 99035 in exponential form is:

99035 = 5¹ × 29¹ × 683¹

Step-3: Factors of 99015

List of positive integer factors of 99015 that divides 99015 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 41, 69, 105, 115, 123, 161, 205, 287, 345, 483, 615, 805, 861, 943, 1435, 2415, 2829, 4305, 4715, 6601, 14145, 19803, 33005

Step-4: Factors of 99035

List of positive integer factors of 99035 that divides 99015 without a remainder.

1, 5, 29, 145, 683, 3415, 19807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99015 and 99035. The biggest common factor number is the GCF number.
So the greatest common factor 99015 and 99035 is 5.

Also check out the Least Common Multiple of 99015 and 99035