What is the Greatest Common Factor of 9870 and 9875?

Greatest common factor (GCF) of 9870 and 9875 is 5.

GCF(9870,9875) = 5

We will now calculate the prime factors of 9870 and 9875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9870 and 9875.

How to find the GCF of 9870 and 9875?

We will first find the prime factorization of 9870 and 9875. After we will calculate the factors of 9870 and 9875 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 9875

Prime factors of 9875 are 5, 79. Prime factorization of 9875 in exponential form is:

9875 = 5³ × 79¹

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 9875

List of positive integer factors of 9875 that divides 9870 without a remainder.

1, 5, 25, 79, 125, 395, 1975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9870 and 9875. The biggest common factor number is the GCF number.
So the greatest common factor 9870 and 9875 is 5.

Also check out the Least Common Multiple of 9870 and 9875