What is the Greatest Common Factor of 9875 and 9894?

Greatest common factor (GCF) of 9875 and 9894 is 1.

GCF(9875,9894) = 1

We will now calculate the prime factors of 9875 and 9894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9875 and 9894.

How to find the GCF of 9875 and 9894?

We will first find the prime factorization of 9875 and 9894. After we will calculate the factors of 9875 and 9894 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 9894

Prime factors of 9894 are 2, 3, 17, 97. Prime factorization of 9894 in exponential form is:

9894 = 2¹ × 3¹ × 17¹ × 97¹

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 9894

List of positive integer factors of 9894 that divides 9875 without a remainder.

1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9875 and 9894. The biggest common factor number is the GCF number.
So the greatest common factor 9875 and 9894 is 1.

Also check out the Least Common Multiple of 9875 and 9894