What is the Greatest Common Factor of 2865 and 2875?

Greatest common factor (GCF) of 2865 and 2875 is 5.

GCF(2865,2875) = 5

We will now calculate the prime factors of 2865 and 2875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2865 and 2875.

How to find the GCF of 2865 and 2875?

We will first find the prime factorization of 2865 and 2875. After we will calculate the factors of 2865 and 2875 and find the biggest common factor number .

Step-1: Prime Factorization of 2865

Prime factors of 2865 are 3, 5, 191. Prime factorization of 2865 in exponential form is:

2865 = 3¹ × 5¹ × 191¹

Step-2: Prime Factorization of 2875

Prime factors of 2875 are 5, 23. Prime factorization of 2875 in exponential form is:

2875 = 5³ × 23¹

Step-3: Factors of 2865

List of positive integer factors of 2865 that divides 2865 without a remainder.

1, 3, 5, 15, 191, 573, 955

Step-4: Factors of 2875

List of positive integer factors of 2875 that divides 2865 without a remainder.

1, 5, 23, 25, 115, 125, 575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2865 and 2875. The biggest common factor number is the GCF number.
So the greatest common factor 2865 and 2875 is 5.

Also check out the Least Common Multiple of 2865 and 2875