What is the Greatest Common Factor of 99468 and 99488?

Greatest common factor (GCF) of 99468 and 99488 is 4.

GCF(99468,99488) = 4

We will now calculate the prime factors of 99468 and 99488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99468 and 99488.

How to find the GCF of 99468 and 99488?

We will first find the prime factorization of 99468 and 99488. After we will calculate the factors of 99468 and 99488 and find the biggest common factor number .

Step-1: Prime Factorization of 99468

Prime factors of 99468 are 2, 3, 307. Prime factorization of 99468 in exponential form is:

99468 = 2² × 3⁴ × 307¹

Step-2: Prime Factorization of 99488

Prime factors of 99488 are 2, 3109. Prime factorization of 99488 in exponential form is:

99488 = 2⁵ × 3109¹

Step-3: Factors of 99468

List of positive integer factors of 99468 that divides 99468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 307, 324, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578, 24867, 33156, 49734

Step-4: Factors of 99488

List of positive integer factors of 99488 that divides 99468 without a remainder.

1, 2, 4, 8, 16, 32, 3109, 6218, 12436, 24872, 49744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99468 and 99488. The biggest common factor number is the GCF number.
So the greatest common factor 99468 and 99488 is 4.

Also check out the Least Common Multiple of 99468 and 99488