What is the Greatest Common Factor of 98688 and 98705?

Greatest common factor (GCF) of 98688 and 98705 is 1.

GCF(98688,98705) = 1

We will now calculate the prime factors of 98688 and 98705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98688 and 98705.

How to find the GCF of 98688 and 98705?

We will first find the prime factorization of 98688 and 98705. After we will calculate the factors of 98688 and 98705 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 98705

Prime factors of 98705 are 5, 19, 1039. Prime factorization of 98705 in exponential form is:

98705 = 5¹ × 19¹ × 1039¹

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 98705

List of positive integer factors of 98705 that divides 98688 without a remainder.

1, 5, 19, 95, 1039, 5195, 19741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98688 and 98705. The biggest common factor number is the GCF number.
So the greatest common factor 98688 and 98705 is 1.

Also check out the Least Common Multiple of 98688 and 98705