What is the Greatest Common Factor of 98298 and 98312?

Greatest common factor (GCF) of 98298 and 98312 is 2.

GCF(98298,98312) = 2

We will now calculate the prime factors of 98298 and 98312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98298 and 98312.

How to find the GCF of 98298 and 98312?

We will first find the prime factorization of 98298 and 98312. After we will calculate the factors of 98298 and 98312 and find the biggest common factor number .

Step-1: Prime Factorization of 98298

Prime factors of 98298 are 2, 3, 43, 127. Prime factorization of 98298 in exponential form is:

98298 = 2¹ × 3² × 43¹ × 127¹

Step-2: Prime Factorization of 98312

Prime factors of 98312 are 2, 12289. Prime factorization of 98312 in exponential form is:

98312 = 2³ × 12289¹

Step-3: Factors of 98298

List of positive integer factors of 98298 that divides 98298 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 127, 129, 254, 258, 381, 387, 762, 774, 1143, 2286, 5461, 10922, 16383, 32766, 49149

Step-4: Factors of 98312

List of positive integer factors of 98312 that divides 98298 without a remainder.

1, 2, 4, 8, 12289, 24578, 49156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98298 and 98312. The biggest common factor number is the GCF number.
So the greatest common factor 98298 and 98312 is 2.

Also check out the Least Common Multiple of 98298 and 98312