What is the Greatest Common Factor of 99564 and 99578?

Greatest common factor (GCF) of 99564 and 99578 is 2.

GCF(99564,99578) = 2

We will now calculate the prime factors of 99564 and 99578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99564 and 99578.

How to find the GCF of 99564 and 99578?

We will first find the prime factorization of 99564 and 99578. After we will calculate the factors of 99564 and 99578 and find the biggest common factor number .

Step-1: Prime Factorization of 99564

Prime factors of 99564 are 2, 3, 8297. Prime factorization of 99564 in exponential form is:

99564 = 2² × 3¹ × 8297¹

Step-2: Prime Factorization of 99578

Prime factors of 99578 are 2, 49789. Prime factorization of 99578 in exponential form is:

99578 = 2¹ × 49789¹

Step-3: Factors of 99564

List of positive integer factors of 99564 that divides 99564 without a remainder.

1, 2, 3, 4, 6, 12, 8297, 16594, 24891, 33188, 49782

Step-4: Factors of 99578

List of positive integer factors of 99578 that divides 99564 without a remainder.

1, 2, 49789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99564 and 99578. The biggest common factor number is the GCF number.
So the greatest common factor 99564 and 99578 is 2.

Also check out the Least Common Multiple of 99564 and 99578