What is the Greatest Common Factor of 99792 and 99812?

Greatest common factor (GCF) of 99792 and 99812 is 4.

GCF(99792,99812) = 4

We will now calculate the prime factors of 99792 and 99812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99792 and 99812.

How to find the GCF of 99792 and 99812?

We will first find the prime factorization of 99792 and 99812. After we will calculate the factors of 99792 and 99812 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 99812

Prime factors of 99812 are 2, 24953. Prime factorization of 99812 in exponential form is:

99812 = 2² × 24953¹

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 99812

List of positive integer factors of 99812 that divides 99792 without a remainder.

1, 2, 4, 24953, 49906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99792 and 99812. The biggest common factor number is the GCF number.
So the greatest common factor 99792 and 99812 is 4.

Also check out the Least Common Multiple of 99792 and 99812