What is the Greatest Common Factor of 9870 and 9884?

Greatest common factor (GCF) of 9870 and 9884 is 14.

GCF(9870,9884) = 14

We will now calculate the prime factors of 9870 and 9884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9870 and 9884.

How to find the GCF of 9870 and 9884?

We will first find the prime factorization of 9870 and 9884. After we will calculate the factors of 9870 and 9884 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 9884

Prime factors of 9884 are 2, 7, 353. Prime factorization of 9884 in exponential form is:

9884 = 2² × 7¹ × 353¹

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 9884

List of positive integer factors of 9884 that divides 9870 without a remainder.

1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9870 and 9884. The biggest common factor number is the GCF number.
So the greatest common factor 9870 and 9884 is 14.

Also check out the Least Common Multiple of 9870 and 9884