What is the Greatest Common Factor of 99008 and 99021?

Greatest common factor (GCF) of 99008 and 99021 is 13.

GCF(99008,99021) = 13

We will now calculate the prime factors of 99008 and 99021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99008 and 99021.

How to find the GCF of 99008 and 99021?

We will first find the prime factorization of 99008 and 99021. After we will calculate the factors of 99008 and 99021 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 99021

Prime factors of 99021 are 3, 13, 2539. Prime factorization of 99021 in exponential form is:

99021 = 3¹ × 13¹ × 2539¹

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 99021

List of positive integer factors of 99021 that divides 99008 without a remainder.

1, 3, 13, 39, 2539, 7617, 33007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99008 and 99021. The biggest common factor number is the GCF number.
So the greatest common factor 99008 and 99021 is 13.

Also check out the Least Common Multiple of 99008 and 99021