What is the Greatest Common Factor of 18945 and 18965?

Greatest common factor (GCF) of 18945 and 18965 is 5.

GCF(18945,18965) = 5

We will now calculate the prime factors of 18945 and 18965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18945 and 18965.

How to find the GCF of 18945 and 18965?

We will first find the prime factorization of 18945 and 18965. After we will calculate the factors of 18945 and 18965 and find the biggest common factor number .

Step-1: Prime Factorization of 18945

Prime factors of 18945 are 3, 5, 421. Prime factorization of 18945 in exponential form is:

18945 = 3² × 5¹ × 421¹

Step-2: Prime Factorization of 18965

Prime factors of 18965 are 5, 3793. Prime factorization of 18965 in exponential form is:

18965 = 5¹ × 3793¹

Step-3: Factors of 18945

List of positive integer factors of 18945 that divides 18945 without a remainder.

1, 3, 5, 9, 15, 45, 421, 1263, 2105, 3789, 6315

Step-4: Factors of 18965

List of positive integer factors of 18965 that divides 18945 without a remainder.

1, 5, 3793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18945 and 18965. The biggest common factor number is the GCF number.
So the greatest common factor 18945 and 18965 is 5.

Also check out the Least Common Multiple of 18945 and 18965