What is the Greatest Common Factor of 19875 and 19885?

Greatest common factor (GCF) of 19875 and 19885 is 5.

GCF(19875,19885) = 5

We will now calculate the prime factors of 19875 and 19885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19875 and 19885.

How to find the GCF of 19875 and 19885?

We will first find the prime factorization of 19875 and 19885. After we will calculate the factors of 19875 and 19885 and find the biggest common factor number .

Step-1: Prime Factorization of 19875

Prime factors of 19875 are 3, 5, 53. Prime factorization of 19875 in exponential form is:

19875 = 3¹ × 5³ × 53¹

Step-2: Prime Factorization of 19885

Prime factors of 19885 are 5, 41, 97. Prime factorization of 19885 in exponential form is:

19885 = 5¹ × 41¹ × 97¹

Step-3: Factors of 19875

List of positive integer factors of 19875 that divides 19875 without a remainder.

1, 3, 5, 15, 25, 53, 75, 125, 159, 265, 375, 795, 1325, 3975, 6625

Step-4: Factors of 19885

List of positive integer factors of 19885 that divides 19875 without a remainder.

1, 5, 41, 97, 205, 485, 3977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19875 and 19885. The biggest common factor number is the GCF number.
So the greatest common factor 19875 and 19885 is 5.

Also check out the Least Common Multiple of 19875 and 19885