What is the Greatest Common Factor of 99102 and 99106?

Greatest common factor (GCF) of 99102 and 99106 is 2.

GCF(99102,99106) = 2

We will now calculate the prime factors of 99102 and 99106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99102 and 99106.

How to find the GCF of 99102 and 99106?

We will first find the prime factorization of 99102 and 99106. After we will calculate the factors of 99102 and 99106 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 99106

Prime factors of 99106 are 2, 7, 7079. Prime factorization of 99106 in exponential form is:

99106 = 2¹ × 7¹ × 7079¹

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 99106

List of positive integer factors of 99106 that divides 99102 without a remainder.

1, 2, 7, 14, 7079, 14158, 49553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99102 and 99106. The biggest common factor number is the GCF number.
So the greatest common factor 99102 and 99106 is 2.

Also check out the Least Common Multiple of 99102 and 99106