What is the Greatest Common Factor of 18955 and 18965?

Greatest common factor (GCF) of 18955 and 18965 is 5.

GCF(18955,18965) = 5

We will now calculate the prime factors of 18955 and 18965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18955 and 18965.

How to find the GCF of 18955 and 18965?

We will first find the prime factorization of 18955 and 18965. After we will calculate the factors of 18955 and 18965 and find the biggest common factor number .

Step-1: Prime Factorization of 18955

Prime factors of 18955 are 5, 17, 223. Prime factorization of 18955 in exponential form is:

18955 = 5¹ × 17¹ × 223¹

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 18955

List of positive integer factors of 18955 that divides 18955 without a remainder.

1, 5, 17, 85, 223, 1115, 3791

Step-4: Factors of 18965

List of positive integer factors of 18965 that divides 18955 without a remainder.

1, 5, 3793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18955 and 18965. The biggest common factor number is the GCF number.
So the greatest common factor 18955 and 18965 is 5.

Also check out the Least Common Multiple of 18955 and 18965