What is the Greatest Common Factor of 19865 and 19875?

Greatest common factor (GCF) of 19865 and 19875 is 5.

GCF(19865,19875) = 5

We will now calculate the prime factors of 19865 and 19875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19865 and 19875.

How to find the GCF of 19865 and 19875?

We will first find the prime factorization of 19865 and 19875. After we will calculate the factors of 19865 and 19875 and find the biggest common factor number .

Step-1: Prime Factorization of 19865

Prime factors of 19865 are 5, 29, 137. Prime factorization of 19865 in exponential form is:

19865 = 5¹ × 29¹ × 137¹

Step-2: 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-3: Factors of 19865

List of positive integer factors of 19865 that divides 19865 without a remainder.

1, 5, 29, 137, 145, 685, 3973

Step-4: Factors of 19875

List of positive integer factors of 19875 that divides 19865 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19865 and 19875. The biggest common factor number is the GCF number.
So the greatest common factor 19865 and 19875 is 5.

Also check out the Least Common Multiple of 19865 and 19875