What is the Greatest Common Factor of 98508 and 98512?

Greatest common factor (GCF) of 98508 and 98512 is 4.

GCF(98508,98512) = 4

We will now calculate the prime factors of 98508 and 98512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98508 and 98512.

How to find the GCF of 98508 and 98512?

We will first find the prime factorization of 98508 and 98512. After we will calculate the factors of 98508 and 98512 and find the biggest common factor number .

Step-1: Prime Factorization of 98508

Prime factors of 98508 are 2, 3, 8209. Prime factorization of 98508 in exponential form is:

98508 = 2² × 3¹ × 8209¹

Step-2: Prime Factorization of 98512

Prime factors of 98512 are 2, 47, 131. Prime factorization of 98512 in exponential form is:

98512 = 2⁴ × 47¹ × 131¹

Step-3: Factors of 98508

List of positive integer factors of 98508 that divides 98508 without a remainder.

1, 2, 3, 4, 6, 12, 8209, 16418, 24627, 32836, 49254

Step-4: Factors of 98512

List of positive integer factors of 98512 that divides 98508 without a remainder.

1, 2, 4, 8, 16, 47, 94, 131, 188, 262, 376, 524, 752, 1048, 2096, 6157, 12314, 24628, 49256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98508 and 98512. The biggest common factor number is the GCF number.
So the greatest common factor 98508 and 98512 is 4.

Also check out the Least Common Multiple of 98508 and 98512