What is the Greatest Common Factor of 98700 and 98709?

Greatest common factor (GCF) of 98700 and 98709 is 3.

GCF(98700,98709) = 3

We will now calculate the prime factors of 98700 and 98709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98700 and 98709.

How to find the GCF of 98700 and 98709?

We will first find the prime factorization of 98700 and 98709. After we will calculate the factors of 98700 and 98709 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98709

Prime factors of 98709 are 3, 13, 2531. Prime factorization of 98709 in exponential form is:

98709 = 3¹ × 13¹ × 2531¹

Step-3: Factors of 98700

List of positive integer factors of 98700 that divides 98700 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

Step-4: Factors of 98709

List of positive integer factors of 98709 that divides 98700 without a remainder.

1, 3, 13, 39, 2531, 7593, 32903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98700 and 98709. The biggest common factor number is the GCF number.
So the greatest common factor 98700 and 98709 is 3.

Also check out the Least Common Multiple of 98700 and 98709