What is the Greatest Common Factor of 99126 and 99130?

Greatest common factor (GCF) of 99126 and 99130 is 2.

GCF(99126,99130) = 2

We will now calculate the prime factors of 99126 and 99130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99126 and 99130.

How to find the GCF of 99126 and 99130?

We will first find the prime factorization of 99126 and 99130. After we will calculate the factors of 99126 and 99130 and find the biggest common factor number .

Step-1: Prime Factorization of 99126

Prime factors of 99126 are 2, 3, 5507. Prime factorization of 99126 in exponential form is:

99126 = 2¹ × 3² × 5507¹

Step-2: Prime Factorization of 99130

Prime factors of 99130 are 2, 5, 23, 431. Prime factorization of 99130 in exponential form is:

99130 = 2¹ × 5¹ × 23¹ × 431¹

Step-3: Factors of 99126

List of positive integer factors of 99126 that divides 99126 without a remainder.

1, 2, 3, 6, 9, 18, 5507, 11014, 16521, 33042, 49563

Step-4: Factors of 99130

List of positive integer factors of 99130 that divides 99126 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 431, 862, 2155, 4310, 9913, 19826, 49565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99126 and 99130. The biggest common factor number is the GCF number.
So the greatest common factor 99126 and 99130 is 2.

Also check out the Least Common Multiple of 99126 and 99130