What is the Greatest Common Factor of 98544 and 98562?

Greatest common factor (GCF) of 98544 and 98562 is 6.

GCF(98544,98562) = 6

We will now calculate the prime factors of 98544 and 98562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98544 and 98562.

How to find the GCF of 98544 and 98562?

We will first find the prime factorization of 98544 and 98562. After we will calculate the factors of 98544 and 98562 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 98562

Prime factors of 98562 are 2, 3, 16427. Prime factorization of 98562 in exponential form is:

98562 = 2¹ × 3¹ × 16427¹

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 98562

List of positive integer factors of 98562 that divides 98544 without a remainder.

1, 2, 3, 6, 16427, 32854, 49281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98544 and 98562. The biggest common factor number is the GCF number.
So the greatest common factor 98544 and 98562 is 6.

Also check out the Least Common Multiple of 98544 and 98562