What is the Greatest Common Factor of 9875 and 9895?

Greatest common factor (GCF) of 9875 and 9895 is 5.

GCF(9875,9895) = 5

We will now calculate the prime factors of 9875 and 9895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9875 and 9895.

How to find the GCF of 9875 and 9895?

We will first find the prime factorization of 9875 and 9895. After we will calculate the factors of 9875 and 9895 and find the biggest common factor number .

Step-1: Prime Factorization of 9875

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

9875 = 5³ × 79¹

Step-2: Prime Factorization of 9895

Prime factors of 9895 are 5, 1979. Prime factorization of 9895 in exponential form is:

9895 = 5¹ × 1979¹

Step-3: Factors of 9875

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

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

Step-4: Factors of 9895

List of positive integer factors of 9895 that divides 9875 without a remainder.

1, 5, 1979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9875 and 9895. The biggest common factor number is the GCF number.
So the greatest common factor 9875 and 9895 is 5.

Also check out the Least Common Multiple of 9875 and 9895