What is the Greatest Common Factor of 99100 and 99113?

Greatest common factor (GCF) of 99100 and 99113 is 1.

GCF(99100,99113) = 1

We will now calculate the prime factors of 99100 and 99113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99100 and 99113.

How to find the GCF of 99100 and 99113?

We will first find the prime factorization of 99100 and 99113. After we will calculate the factors of 99100 and 99113 and find the biggest common factor number .

Step-1: Prime Factorization of 99100

Prime factors of 99100 are 2, 5, 991. Prime factorization of 99100 in exponential form is:

99100 = 2² × 5² × 991¹

Step-2: Prime Factorization of 99113

Prime factors of 99113 are 7, 14159. Prime factorization of 99113 in exponential form is:

99113 = 7¹ × 14159¹

Step-3: Factors of 99100

List of positive integer factors of 99100 that divides 99100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 991, 1982, 3964, 4955, 9910, 19820, 24775, 49550

Step-4: Factors of 99113

List of positive integer factors of 99113 that divides 99100 without a remainder.

1, 7, 14159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99100 and 99113. The biggest common factor number is the GCF number.
So the greatest common factor 99100 and 99113 is 1.

Also check out the Least Common Multiple of 99100 and 99113