What is the Greatest Common Factor of 98544 and 98559?

Greatest common factor (GCF) of 98544 and 98559 is 3.

GCF(98544,98559) = 3

We will now calculate the prime factors of 98544 and 98559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98544 and 98559.

How to find the GCF of 98544 and 98559?

We will first find the prime factorization of 98544 and 98559. After we will calculate the factors of 98544 and 98559 and find the biggest common factor number .

Step-1: Prime Factorization of 98544

Prime factors of 98544 are 2, 3, 2053. Prime factorization of 98544 in exponential form is:

98544 = 2⁴ × 3¹ × 2053¹

Step-2: Prime Factorization of 98559

Prime factors of 98559 are 3, 47, 233. Prime factorization of 98559 in exponential form is:

98559 = 3² × 47¹ × 233¹

Step-3: Factors of 98544

List of positive integer factors of 98544 that divides 98544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2053, 4106, 6159, 8212, 12318, 16424, 24636, 32848, 49272

Step-4: Factors of 98559

List of positive integer factors of 98559 that divides 98544 without a remainder.

1, 3, 9, 47, 141, 233, 423, 699, 2097, 10951, 32853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98544 and 98559. The biggest common factor number is the GCF number.
So the greatest common factor 98544 and 98559 is 3.

Also check out the Least Common Multiple of 98544 and 98559