What is the Greatest Common Factor of 17865 and 17877?

Greatest common factor (GCF) of 17865 and 17877 is 3.

GCF(17865,17877) = 3

We will now calculate the prime factors of 17865 and 17877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17865 and 17877.

How to find the GCF of 17865 and 17877?

We will first find the prime factorization of 17865 and 17877. After we will calculate the factors of 17865 and 17877 and find the biggest common factor number .

Step-1: Prime Factorization of 17865

Prime factors of 17865 are 3, 5, 397. Prime factorization of 17865 in exponential form is:

17865 = 3² × 5¹ × 397¹

Step-2: Prime Factorization of 17877

Prime factors of 17877 are 3, 59, 101. Prime factorization of 17877 in exponential form is:

17877 = 3¹ × 59¹ × 101¹

Step-3: Factors of 17865

List of positive integer factors of 17865 that divides 17865 without a remainder.

1, 3, 5, 9, 15, 45, 397, 1191, 1985, 3573, 5955

Step-4: Factors of 17877

List of positive integer factors of 17877 that divides 17865 without a remainder.

1, 3, 59, 101, 177, 303, 5959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17865 and 17877. The biggest common factor number is the GCF number.
So the greatest common factor 17865 and 17877 is 3.

Also check out the Least Common Multiple of 17865 and 17877