What is the Greatest Common Factor of 98688 and 98704?

Greatest common factor (GCF) of 98688 and 98704 is 16.

GCF(98688,98704) = 16

We will now calculate the prime factors of 98688 and 98704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98688 and 98704.

How to find the GCF of 98688 and 98704?

We will first find the prime factorization of 98688 and 98704. After we will calculate the factors of 98688 and 98704 and find the biggest common factor number .

Step-1: Prime Factorization of 98688

Prime factors of 98688 are 2, 3, 257. Prime factorization of 98688 in exponential form is:

98688 = 2⁷ × 3¹ × 257¹

Step-2: Prime Factorization of 98704

Prime factors of 98704 are 2, 31, 199. Prime factorization of 98704 in exponential form is:

98704 = 2⁴ × 31¹ × 199¹

Step-3: Factors of 98688

List of positive integer factors of 98688 that divides 98688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 257, 384, 514, 771, 1028, 1542, 2056, 3084, 4112, 6168, 8224, 12336, 16448, 24672, 32896, 49344

Step-4: Factors of 98704

List of positive integer factors of 98704 that divides 98688 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 199, 248, 398, 496, 796, 1592, 3184, 6169, 12338, 24676, 49352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98688 and 98704. The biggest common factor number is the GCF number.
So the greatest common factor 98688 and 98704 is 16.

Also check out the Least Common Multiple of 98688 and 98704