What is the Greatest Common Factor of 99648 and 99654?

Greatest common factor (GCF) of 99648 and 99654 is 6.

GCF(99648,99654) = 6

We will now calculate the prime factors of 99648 and 99654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99648 and 99654.

How to find the GCF of 99648 and 99654?

We will first find the prime factorization of 99648 and 99654. After we will calculate the factors of 99648 and 99654 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 99654

Prime factors of 99654 are 2, 3, 17, 977. Prime factorization of 99654 in exponential form is:

99654 = 2¹ × 3¹ × 17¹ × 977¹

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 99654

List of positive integer factors of 99654 that divides 99648 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 977, 1954, 2931, 5862, 16609, 33218, 49827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99648 and 99654. The biggest common factor number is the GCF number.
So the greatest common factor 99648 and 99654 is 6.

Also check out the Least Common Multiple of 99648 and 99654