What is the Greatest Common Factor of 99392 and 99408?

Greatest common factor (GCF) of 99392 and 99408 is 16.

GCF(99392,99408) = 16

We will now calculate the prime factors of 99392 and 99408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99392 and 99408.

How to find the GCF of 99392 and 99408?

We will first find the prime factorization of 99392 and 99408. After we will calculate the factors of 99392 and 99408 and find the biggest common factor number .

Step-1: Prime Factorization of 99392

Prime factors of 99392 are 2, 1553. Prime factorization of 99392 in exponential form is:

99392 = 2⁶ × 1553¹

Step-2: Prime Factorization of 99408

Prime factors of 99408 are 2, 3, 19, 109. Prime factorization of 99408 in exponential form is:

99408 = 2⁴ × 3¹ × 19¹ × 109¹

Step-3: Factors of 99392

List of positive integer factors of 99392 that divides 99392 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1553, 3106, 6212, 12424, 24848, 49696

Step-4: Factors of 99408

List of positive integer factors of 99408 that divides 99392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 109, 114, 152, 218, 228, 304, 327, 436, 456, 654, 872, 912, 1308, 1744, 2071, 2616, 4142, 5232, 6213, 8284, 12426, 16568, 24852, 33136, 49704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99392 and 99408. The biggest common factor number is the GCF number.
So the greatest common factor 99392 and 99408 is 16.

Also check out the Least Common Multiple of 99392 and 99408