What is the Greatest Common Factor of 98688 and 98700?

Greatest common factor (GCF) of 98688 and 98700 is 12.

GCF(98688,98700) = 12

We will now calculate the prime factors of 98688 and 98700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98688 and 98700.

How to find the GCF of 98688 and 98700?

We will first find the prime factorization of 98688 and 98700. After we will calculate the factors of 98688 and 98700 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 98700

Prime factors of 98700 are 2, 3, 5, 7, 47. Prime factorization of 98700 in exponential form is:

98700 = 2² × 3¹ × 5² × 7¹ × 47¹

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 98700

List of positive integer factors of 98700 that divides 98688 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 47, 50, 60, 70, 75, 84, 94, 100, 105, 140, 141, 150, 175, 188, 210, 235, 282, 300, 329, 350, 420, 470, 525, 564, 658, 700, 705, 940, 987, 1050, 1175, 1316, 1410, 1645, 1974, 2100, 2350, 2820, 3290, 3525, 3948, 4700, 4935, 6580, 7050, 8225, 9870, 14100, 16450, 19740, 24675, 32900, 49350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98688 and 98700. The biggest common factor number is the GCF number.
So the greatest common factor 98688 and 98700 is 12.

Also check out the Least Common Multiple of 98688 and 98700