What is the Greatest Common Factor of 99664 and 99680?

Greatest common factor (GCF) of 99664 and 99680 is 16.

GCF(99664,99680) = 16

We will now calculate the prime factors of 99664 and 99680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99664 and 99680.

How to find the GCF of 99664 and 99680?

We will first find the prime factorization of 99664 and 99680. After we will calculate the factors of 99664 and 99680 and find the biggest common factor number .

Step-1: Prime Factorization of 99664

Prime factors of 99664 are 2, 6229. Prime factorization of 99664 in exponential form is:

99664 = 2⁴ × 6229¹

Step-2: 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-3: Factors of 99664

List of positive integer factors of 99664 that divides 99664 without a remainder.

1, 2, 4, 8, 16, 6229, 12458, 24916, 49832

Step-4: Factors of 99680

List of positive integer factors of 99680 that divides 99664 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99664 and 99680. The biggest common factor number is the GCF number.
So the greatest common factor 99664 and 99680 is 16.

Also check out the Least Common Multiple of 99664 and 99680