What is the Greatest Common Factor of 18940 and 18945?

Greatest common factor (GCF) of 18940 and 18945 is 5.

GCF(18940,18945) = 5

We will now calculate the prime factors of 18940 and 18945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18940 and 18945.

How to find the GCF of 18940 and 18945?

We will first find the prime factorization of 18940 and 18945. After we will calculate the factors of 18940 and 18945 and find the biggest common factor number .

Step-1: Prime Factorization of 18940

Prime factors of 18940 are 2, 5, 947. Prime factorization of 18940 in exponential form is:

18940 = 2² × 5¹ × 947¹

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 18940

List of positive integer factors of 18940 that divides 18940 without a remainder.

1, 2, 4, 5, 10, 20, 947, 1894, 3788, 4735, 9470

Step-4: Factors of 18945

List of positive integer factors of 18945 that divides 18940 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 18940 and 18945. The biggest common factor number is the GCF number.
So the greatest common factor 18940 and 18945 is 5.

Also check out the Least Common Multiple of 18940 and 18945