What is the Greatest Common Factor of 18945 and 18957?

Greatest common factor (GCF) of 18945 and 18957 is 3.

GCF(18945,18957) = 3

We will now calculate the prime factors of 18945 and 18957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18945 and 18957.

How to find the GCF of 18945 and 18957?

We will first find the prime factorization of 18945 and 18957. After we will calculate the factors of 18945 and 18957 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 18957

Prime factors of 18957 are 3, 71, 89. Prime factorization of 18957 in exponential form is:

18957 = 3¹ × 71¹ × 89¹

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 18957

List of positive integer factors of 18957 that divides 18945 without a remainder.

1, 3, 71, 89, 213, 267, 6319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18945 and 18957. The biggest common factor number is the GCF number.
So the greatest common factor 18945 and 18957 is 3.

Also check out the Least Common Multiple of 18945 and 18957