What is the Greatest Common Factor of 99688 and 99696?

Greatest common factor (GCF) of 99688 and 99696 is 8.

GCF(99688,99696) = 8

We will now calculate the prime factors of 99688 and 99696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99688 and 99696.

How to find the GCF of 99688 and 99696?

We will first find the prime factorization of 99688 and 99696. After we will calculate the factors of 99688 and 99696 and find the biggest common factor number .

Step-1: Prime Factorization of 99688

Prime factors of 99688 are 2, 17, 733. Prime factorization of 99688 in exponential form is:

99688 = 2³ × 17¹ × 733¹

Step-2: Prime Factorization of 99696

Prime factors of 99696 are 2, 3, 31, 67. Prime factorization of 99696 in exponential form is:

99696 = 2⁴ × 3¹ × 31¹ × 67¹

Step-3: Factors of 99688

List of positive integer factors of 99688 that divides 99688 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 733, 1466, 2932, 5864, 12461, 24922, 49844

Step-4: Factors of 99696

List of positive integer factors of 99696 that divides 99688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 67, 93, 124, 134, 186, 201, 248, 268, 372, 402, 496, 536, 744, 804, 1072, 1488, 1608, 2077, 3216, 4154, 6231, 8308, 12462, 16616, 24924, 33232, 49848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99688 and 99696. The biggest common factor number is the GCF number.
So the greatest common factor 99688 and 99696 is 8.

Also check out the Least Common Multiple of 99688 and 99696