What is the Greatest Common Factor of 98544 and 98552?

Greatest common factor (GCF) of 98544 and 98552 is 8.

GCF(98544,98552) = 8

We will now calculate the prime factors of 98544 and 98552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98544 and 98552.

How to find the GCF of 98544 and 98552?

We will first find the prime factorization of 98544 and 98552. After we will calculate the factors of 98544 and 98552 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 98552

Prime factors of 98552 are 2, 97, 127. Prime factorization of 98552 in exponential form is:

98552 = 2³ × 97¹ × 127¹

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 98552

List of positive integer factors of 98552 that divides 98544 without a remainder.

1, 2, 4, 8, 97, 127, 194, 254, 388, 508, 776, 1016, 12319, 24638, 49276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98544 and 98552. The biggest common factor number is the GCF number.
So the greatest common factor 98544 and 98552 is 8.

Also check out the Least Common Multiple of 98544 and 98552