What is the Greatest Common Factor of 98700 and 98715?

Greatest common factor (GCF) of 98700 and 98715 is 15.

GCF(98700,98715) = 15

We will now calculate the prime factors of 98700 and 98715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98700 and 98715.

How to find the GCF of 98700 and 98715?

We will first find the prime factorization of 98700 and 98715. After we will calculate the factors of 98700 and 98715 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 98715

Prime factors of 98715 are 3, 5, 6581. Prime factorization of 98715 in exponential form is:

98715 = 3¹ × 5¹ × 6581¹

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 98715

List of positive integer factors of 98715 that divides 98700 without a remainder.

1, 3, 5, 15, 6581, 19743, 32905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98700 and 98715. The biggest common factor number is the GCF number.
So the greatest common factor 98700 and 98715 is 15.

Also check out the Least Common Multiple of 98700 and 98715