What is the Greatest Common Factor of 9870 and 9885?

Greatest common factor (GCF) of 9870 and 9885 is 15.

GCF(9870,9885) = 15

We will now calculate the prime factors of 9870 and 9885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9870 and 9885.

How to find the GCF of 9870 and 9885?

We will first find the prime factorization of 9870 and 9885. After we will calculate the factors of 9870 and 9885 and find the biggest common factor number .

Step-1: Prime Factorization of 9870

Prime factors of 9870 are 2, 3, 5, 7, 47. Prime factorization of 9870 in exponential form is:

9870 = 2¹ × 3¹ × 5¹ × 7¹ × 47¹

Step-2: Prime Factorization of 9885

Prime factors of 9885 are 3, 5, 659. Prime factorization of 9885 in exponential form is:

9885 = 3¹ × 5¹ × 659¹

Step-3: Factors of 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935

Step-4: Factors of 9885

List of positive integer factors of 9885 that divides 9870 without a remainder.

1, 3, 5, 15, 659, 1977, 3295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9870 and 9885. The biggest common factor number is the GCF number.
So the greatest common factor 9870 and 9885 is 15.

Also check out the Least Common Multiple of 9870 and 9885