What is the Greatest Common Factor of 99098 and 99104?

Greatest common factor (GCF) of 99098 and 99104 is 2.

GCF(99098,99104) = 2

We will now calculate the prime factors of 99098 and 99104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99098 and 99104.

How to find the GCF of 99098 and 99104?

We will first find the prime factorization of 99098 and 99104. After we will calculate the factors of 99098 and 99104 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 99104

Prime factors of 99104 are 2, 19, 163. Prime factorization of 99104 in exponential form is:

99104 = 2⁵ × 19¹ × 163¹

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 99104

List of positive integer factors of 99104 that divides 99098 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 163, 304, 326, 608, 652, 1304, 2608, 3097, 5216, 6194, 12388, 24776, 49552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99098 and 99104. The biggest common factor number is the GCF number.
So the greatest common factor 99098 and 99104 is 2.

Also check out the Least Common Multiple of 99098 and 99104