What is the Greatest Common Factor of 18754 and 18770?

Greatest common factor (GCF) of 18754 and 18770 is 2.

GCF(18754,18770) = 2

We will now calculate the prime factors of 18754 and 18770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18754 and 18770.

How to find the GCF of 18754 and 18770?

We will first find the prime factorization of 18754 and 18770. After we will calculate the factors of 18754 and 18770 and find the biggest common factor number .

Step-1: Prime Factorization of 18754

Prime factors of 18754 are 2, 9377. Prime factorization of 18754 in exponential form is:

18754 = 2¹ × 9377¹

Step-2: Prime Factorization of 18770

Prime factors of 18770 are 2, 5, 1877. Prime factorization of 18770 in exponential form is:

18770 = 2¹ × 5¹ × 1877¹

Step-3: Factors of 18754

List of positive integer factors of 18754 that divides 18754 without a remainder.

1, 2, 9377

Step-4: Factors of 18770

List of positive integer factors of 18770 that divides 18754 without a remainder.

1, 2, 5, 10, 1877, 3754, 9385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18754 and 18770. The biggest common factor number is the GCF number.
So the greatest common factor 18754 and 18770 is 2.

Also check out the Least Common Multiple of 18754 and 18770