What is the Greatest Common Factor of 99680 and 99696?

Greatest common factor (GCF) of 99680 and 99696 is 16.

GCF(99680,99696) = 16

We will now calculate the prime factors of 99680 and 99696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99680 and 99696.

How to find the GCF of 99680 and 99696?

We will first find the prime factorization of 99680 and 99696. After we will calculate the factors of 99680 and 99696 and find the biggest common factor number .

Step-1: Prime Factorization of 99680

Prime factors of 99680 are 2, 5, 7, 89. Prime factorization of 99680 in exponential form is:

99680 = 2⁵ × 5¹ × 7¹ × 89¹

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 99680

List of positive integer factors of 99680 that divides 99680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 89, 112, 140, 160, 178, 224, 280, 356, 445, 560, 623, 712, 890, 1120, 1246, 1424, 1780, 2492, 2848, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 14240, 19936, 24920, 49840

Step-4: Factors of 99696

List of positive integer factors of 99696 that divides 99680 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 99680 and 99696. The biggest common factor number is the GCF number.
So the greatest common factor 99680 and 99696 is 16.

Also check out the Least Common Multiple of 99680 and 99696