What is the Greatest Common Factor of 99008 and 99028?

Greatest common factor (GCF) of 99008 and 99028 is 4.

GCF(99008,99028) = 4

We will now calculate the prime factors of 99008 and 99028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99008 and 99028.

How to find the GCF of 99008 and 99028?

We will first find the prime factorization of 99008 and 99028. After we will calculate the factors of 99008 and 99028 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 99028

Prime factors of 99028 are 2, 19, 1303. Prime factorization of 99028 in exponential form is:

99028 = 2² × 19¹ × 1303¹

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 99028

List of positive integer factors of 99028 that divides 99008 without a remainder.

1, 2, 4, 19, 38, 76, 1303, 2606, 5212, 24757, 49514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99008 and 99028. The biggest common factor number is the GCF number.
So the greatest common factor 99008 and 99028 is 4.

Also check out the Least Common Multiple of 99008 and 99028