What is the Greatest Common Factor of 98994 and 99008?

Greatest common factor (GCF) of 98994 and 99008 is 14.

GCF(98994,99008) = 14

We will now calculate the prime factors of 98994 and 99008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98994 and 99008.

How to find the GCF of 98994 and 99008?

We will first find the prime factorization of 98994 and 99008. After we will calculate the factors of 98994 and 99008 and find the biggest common factor number .

Step-1: Prime Factorization of 98994

Prime factors of 98994 are 2, 3, 7, 2357. Prime factorization of 98994 in exponential form is:

98994 = 2¹ × 3¹ × 7¹ × 2357¹

Step-2: 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-3: Factors of 98994

List of positive integer factors of 98994 that divides 98994 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2357, 4714, 7071, 14142, 16499, 32998, 49497

Step-4: Factors of 99008

List of positive integer factors of 99008 that divides 98994 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98994 and 99008. The biggest common factor number is the GCF number.
So the greatest common factor 98994 and 99008 is 14.

Also check out the Least Common Multiple of 98994 and 99008