What is the Greatest Common Factor of 99648 and 99663?

Greatest common factor (GCF) of 99648 and 99663 is 3.

GCF(99648,99663) = 3

We will now calculate the prime factors of 99648 and 99663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99648 and 99663.

How to find the GCF of 99648 and 99663?

We will first find the prime factorization of 99648 and 99663. After we will calculate the factors of 99648 and 99663 and find the biggest common factor number .

Step-1: Prime Factorization of 99648

Prime factors of 99648 are 2, 3, 173. Prime factorization of 99648 in exponential form is:

99648 = 2⁶ × 3² × 173¹

Step-2: Prime Factorization of 99663

Prime factors of 99663 are 3, 139, 239. Prime factorization of 99663 in exponential form is:

99663 = 3¹ × 139¹ × 239¹

Step-3: Factors of 99648

List of positive integer factors of 99648 that divides 99648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 173, 192, 288, 346, 519, 576, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 5536, 6228, 8304, 11072, 12456, 16608, 24912, 33216, 49824

Step-4: Factors of 99663

List of positive integer factors of 99663 that divides 99648 without a remainder.

1, 3, 139, 239, 417, 717, 33221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99648 and 99663. The biggest common factor number is the GCF number.
So the greatest common factor 99648 and 99663 is 3.

Also check out the Least Common Multiple of 99648 and 99663