What is the Greatest Common Factor of 99035 and 99050?

Greatest common factor (GCF) of 99035 and 99050 is 5.

GCF(99035,99050) = 5

We will now calculate the prime factors of 99035 and 99050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99035 and 99050.

How to find the GCF of 99035 and 99050?

We will first find the prime factorization of 99035 and 99050. After we will calculate the factors of 99035 and 99050 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99050

Prime factors of 99050 are 2, 5, 7, 283. Prime factorization of 99050 in exponential form is:

99050 = 2¹ × 5² × 7¹ × 283¹

Step-3: Factors of 99035

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

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

Step-4: Factors of 99050

List of positive integer factors of 99050 that divides 99035 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 283, 350, 566, 1415, 1981, 2830, 3962, 7075, 9905, 14150, 19810, 49525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99035 and 99050. The biggest common factor number is the GCF number.
So the greatest common factor 99035 and 99050 is 5.

Also check out the Least Common Multiple of 99035 and 99050