What is the Greatest Common Factor of 18935 and 18940?

Greatest common factor (GCF) of 18935 and 18940 is 5.

GCF(18935,18940) = 5

We will now calculate the prime factors of 18935 and 18940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18935 and 18940.

How to find the GCF of 18935 and 18940?

We will first find the prime factorization of 18935 and 18940. After we will calculate the factors of 18935 and 18940 and find the biggest common factor number .

Step-1: Prime Factorization of 18935

Prime factors of 18935 are 5, 7, 541. Prime factorization of 18935 in exponential form is:

18935 = 5¹ × 7¹ × 541¹

Step-2: 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-3: Factors of 18935

List of positive integer factors of 18935 that divides 18935 without a remainder.

1, 5, 7, 35, 541, 2705, 3787

Step-4: Factors of 18940

List of positive integer factors of 18940 that divides 18935 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18935 and 18940. The biggest common factor number is the GCF number.
So the greatest common factor 18935 and 18940 is 5.

Also check out the Least Common Multiple of 18935 and 18940