What is the Greatest Common Factor of 18937 and 18945?

Greatest common factor (GCF) of 18937 and 18945 is 1.

GCF(18937,18945) = 1

We will now calculate the prime factors of 18937 and 18945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18937 and 18945.

How to find the GCF of 18937 and 18945?

We will first find the prime factorization of 18937 and 18945. After we will calculate the factors of 18937 and 18945 and find the biggest common factor number .

Step-1: Prime Factorization of 18937

Prime factors of 18937 are 29, 653. Prime factorization of 18937 in exponential form is:

18937 = 29¹ × 653¹

Step-2: 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-3: Factors of 18937

List of positive integer factors of 18937 that divides 18937 without a remainder.

1, 29, 653

Step-4: Factors of 18945

List of positive integer factors of 18945 that divides 18937 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18937 and 18945. The biggest common factor number is the GCF number.
So the greatest common factor 18937 and 18945 is 1.

Also check out the Least Common Multiple of 18937 and 18945