What is the Greatest Common Factor of 99102 and 99110?

Greatest common factor (GCF) of 99102 and 99110 is 2.

GCF(99102,99110) = 2

We will now calculate the prime factors of 99102 and 99110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99102 and 99110.

How to find the GCF of 99102 and 99110?

We will first find the prime factorization of 99102 and 99110. After we will calculate the factors of 99102 and 99110 and find the biggest common factor number .

Step-1: Prime Factorization of 99102

Prime factors of 99102 are 2, 3, 83, 199. Prime factorization of 99102 in exponential form is:

99102 = 2¹ × 3¹ × 83¹ × 199¹

Step-2: Prime Factorization of 99110

Prime factors of 99110 are 2, 5, 11, 17, 53. Prime factorization of 99110 in exponential form is:

99110 = 2¹ × 5¹ × 11¹ × 17¹ × 53¹

Step-3: Factors of 99102

List of positive integer factors of 99102 that divides 99102 without a remainder.

1, 2, 3, 6, 83, 166, 199, 249, 398, 498, 597, 1194, 16517, 33034, 49551

Step-4: Factors of 99110

List of positive integer factors of 99110 that divides 99102 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 53, 55, 85, 106, 110, 170, 187, 265, 374, 530, 583, 901, 935, 1166, 1802, 1870, 2915, 4505, 5830, 9010, 9911, 19822, 49555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99102 and 99110. The biggest common factor number is the GCF number.
So the greatest common factor 99102 and 99110 is 2.

Also check out the Least Common Multiple of 99102 and 99110