What is the Greatest Common Factor of 99008 and 99024?

Greatest common factor (GCF) of 99008 and 99024 is 16.

GCF(99008,99024) = 16

We will now calculate the prime factors of 99008 and 99024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99008 and 99024.

How to find the GCF of 99008 and 99024?

We will first find the prime factorization of 99008 and 99024. After we will calculate the factors of 99008 and 99024 and find the biggest common factor number .

Step-1: Prime Factorization of 99008

Prime factors of 99008 are 2, 7, 13, 17. Prime factorization of 99008 in exponential form is:

99008 = 2⁶ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 99024

Prime factors of 99024 are 2, 3, 2063. Prime factorization of 99024 in exponential form is:

99024 = 2⁴ × 3¹ × 2063¹

Step-3: Factors of 99008

List of positive integer factors of 99008 that divides 99008 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 17, 26, 28, 32, 34, 52, 56, 64, 68, 91, 104, 112, 119, 136, 182, 208, 221, 224, 238, 272, 364, 416, 442, 448, 476, 544, 728, 832, 884, 952, 1088, 1456, 1547, 1768, 1904, 2912, 3094, 3536, 3808, 5824, 6188, 7072, 7616, 12376, 14144, 24752, 49504

Step-4: Factors of 99024

List of positive integer factors of 99024 that divides 99008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2063, 4126, 6189, 8252, 12378, 16504, 24756, 33008, 49512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99008 and 99024. The biggest common factor number is the GCF number.
So the greatest common factor 99008 and 99024 is 16.

Also check out the Least Common Multiple of 99008 and 99024