What is the Greatest Common Factor of 99792 and 99808?

Greatest common factor (GCF) of 99792 and 99808 is 16.

GCF(99792,99808) = 16

We will now calculate the prime factors of 99792 and 99808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99792 and 99808.

How to find the GCF of 99792 and 99808?

We will first find the prime factorization of 99792 and 99808. After we will calculate the factors of 99792 and 99808 and find the biggest common factor number .

Step-1: Prime Factorization of 99792

Prime factors of 99792 are 2, 3, 7, 11. Prime factorization of 99792 in exponential form is:

99792 = 2⁴ × 3⁴ × 7¹ × 11¹

Step-2: Prime Factorization of 99808

Prime factors of 99808 are 2, 3119. Prime factorization of 99808 in exponential form is:

99808 = 2⁵ × 3119¹

Step-3: Factors of 99792

List of positive integer factors of 99792 that divides 99792 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 48, 54, 56, 63, 66, 72, 77, 81, 84, 88, 99, 108, 112, 126, 132, 144, 154, 162, 168, 176, 189, 198, 216, 231, 252, 264, 297, 308, 324, 336, 378, 396, 432, 462, 504, 528, 567, 594, 616, 648, 693, 756, 792, 891, 924, 1008, 1134, 1188, 1232, 1296, 1386, 1512, 1584, 1782, 1848, 2079, 2268, 2376, 2772, 3024, 3564, 3696, 4158, 4536, 4752, 5544, 6237, 7128, 8316, 9072, 11088, 12474, 14256, 16632, 24948, 33264, 49896

Step-4: Factors of 99808

List of positive integer factors of 99808 that divides 99792 without a remainder.

1, 2, 4, 8, 16, 32, 3119, 6238, 12476, 24952, 49904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99792 and 99808. The biggest common factor number is the GCF number.
So the greatest common factor 99792 and 99808 is 16.

Also check out the Least Common Multiple of 99792 and 99808