What is the Greatest Common Factor of 99098 and 99102?

Greatest common factor (GCF) of 99098 and 99102 is 2.

GCF(99098,99102) = 2

We will now calculate the prime factors of 99098 and 99102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99098 and 99102.

How to find the GCF of 99098 and 99102?

We will first find the prime factorization of 99098 and 99102. After we will calculate the factors of 99098 and 99102 and find the biggest common factor number .

Step-1: Prime Factorization of 99098

Prime factors of 99098 are 2, 49549. Prime factorization of 99098 in exponential form is:

99098 = 2¹ × 49549¹

Step-2: 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-3: Factors of 99098

List of positive integer factors of 99098 that divides 99098 without a remainder.

1, 2, 49549

Step-4: Factors of 99102

List of positive integer factors of 99102 that divides 99098 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99098 and 99102. The biggest common factor number is the GCF number.
So the greatest common factor 99098 and 99102 is 2.

Also check out the Least Common Multiple of 99098 and 99102