What is the Greatest Common Factor of 20875 and 20895?

Greatest common factor (GCF) of 20875 and 20895 is 5.

GCF(20875,20895) = 5

We will now calculate the prime factors of 20875 and 20895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20875 and 20895.

How to find the GCF of 20875 and 20895?

We will first find the prime factorization of 20875 and 20895. After we will calculate the factors of 20875 and 20895 and find the biggest common factor number .

Step-1: Prime Factorization of 20875

Prime factors of 20875 are 5, 167. Prime factorization of 20875 in exponential form is:

20875 = 5³ × 167¹

Step-2: Prime Factorization of 20895

Prime factors of 20895 are 3, 5, 7, 199. Prime factorization of 20895 in exponential form is:

20895 = 3¹ × 5¹ × 7¹ × 199¹

Step-3: Factors of 20875

List of positive integer factors of 20875 that divides 20875 without a remainder.

1, 5, 25, 125, 167, 835, 4175

Step-4: Factors of 20895

List of positive integer factors of 20895 that divides 20875 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 199, 597, 995, 1393, 2985, 4179, 6965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20875 and 20895. The biggest common factor number is the GCF number.
So the greatest common factor 20875 and 20895 is 5.

Also check out the Least Common Multiple of 20875 and 20895