What is the Greatest Common Factor of 9854 and 9870?

Greatest common factor (GCF) of 9854 and 9870 is 2.

GCF(9854,9870) = 2

We will now calculate the prime factors of 9854 and 9870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9854 and 9870.

How to find the GCF of 9854 and 9870?

We will first find the prime factorization of 9854 and 9870. After we will calculate the factors of 9854 and 9870 and find the biggest common factor number .

Step-1: Prime Factorization of 9854

Prime factors of 9854 are 2, 13, 379. Prime factorization of 9854 in exponential form is:

9854 = 2¹ × 13¹ × 379¹

Step-2: 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-3: Factors of 9854

List of positive integer factors of 9854 that divides 9854 without a remainder.

1, 2, 13, 26, 379, 758, 4927

Step-4: Factors of 9870

List of positive integer factors of 9870 that divides 9854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9854 and 9870. The biggest common factor number is the GCF number.
So the greatest common factor 9854 and 9870 is 2.

Also check out the Least Common Multiple of 9854 and 9870