What is the Greatest Common Factor of 99434 and 99442?

Greatest common factor (GCF) of 99434 and 99442 is 2.

GCF(99434,99442) = 2

We will now calculate the prime factors of 99434 and 99442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99434 and 99442.

How to find the GCF of 99434 and 99442?

We will first find the prime factorization of 99434 and 99442. After we will calculate the factors of 99434 and 99442 and find the biggest common factor number .

Step-1: Prime Factorization of 99434

Prime factors of 99434 are 2, 83, 599. Prime factorization of 99434 in exponential form is:

99434 = 2¹ × 83¹ × 599¹

Step-2: Prime Factorization of 99442

Prime factors of 99442 are 2, 7, 7103. Prime factorization of 99442 in exponential form is:

99442 = 2¹ × 7¹ × 7103¹

Step-3: Factors of 99434

List of positive integer factors of 99434 that divides 99434 without a remainder.

1, 2, 83, 166, 599, 1198, 49717

Step-4: Factors of 99442

List of positive integer factors of 99442 that divides 99434 without a remainder.

1, 2, 7, 14, 7103, 14206, 49721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99434 and 99442. The biggest common factor number is the GCF number.
So the greatest common factor 99434 and 99442 is 2.

Also check out the Least Common Multiple of 99434 and 99442