What is the Greatest Common Factor of 99633 and 99648?

Greatest common factor (GCF) of 99633 and 99648 is 3.

GCF(99633,99648) = 3

We will now calculate the prime factors of 99633 and 99648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99633 and 99648.

How to find the GCF of 99633 and 99648?

We will first find the prime factorization of 99633 and 99648. After we will calculate the factors of 99633 and 99648 and find the biggest common factor number .

Step-1: Prime Factorization of 99633

Prime factors of 99633 are 3, 33211. Prime factorization of 99633 in exponential form is:

99633 = 3¹ × 33211¹

Step-2: 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-3: Factors of 99633

List of positive integer factors of 99633 that divides 99633 without a remainder.

1, 3, 33211

Step-4: Factors of 99648

List of positive integer factors of 99648 that divides 99633 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99633 and 99648. The biggest common factor number is the GCF number.
So the greatest common factor 99633 and 99648 is 3.

Also check out the Least Common Multiple of 99633 and 99648