What is the Greatest Common Factor of 98684 and 98688?

Greatest common factor (GCF) of 98684 and 98688 is 4.

GCF(98684,98688) = 4

We will now calculate the prime factors of 98684 and 98688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98684 and 98688.

How to find the GCF of 98684 and 98688?

We will first find the prime factorization of 98684 and 98688. After we will calculate the factors of 98684 and 98688 and find the biggest common factor number .

Step-1: Prime Factorization of 98684

Prime factors of 98684 are 2, 24671. Prime factorization of 98684 in exponential form is:

98684 = 2² × 24671¹

Step-2: 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-3: Factors of 98684

List of positive integer factors of 98684 that divides 98684 without a remainder.

1, 2, 4, 24671, 49342

Step-4: Factors of 98688

List of positive integer factors of 98688 that divides 98684 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98684 and 98688. The biggest common factor number is the GCF number.
So the greatest common factor 98684 and 98688 is 4.

Also check out the Least Common Multiple of 98684 and 98688