What is the Greatest Common Factor of 18814 and 18832?

Greatest common factor (GCF) of 18814 and 18832 is 2.

GCF(18814,18832) = 2

We will now calculate the prime factors of 18814 and 18832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18814 and 18832.

How to find the GCF of 18814 and 18832?

We will first find the prime factorization of 18814 and 18832. After we will calculate the factors of 18814 and 18832 and find the biggest common factor number .

Step-1: Prime Factorization of 18814

Prime factors of 18814 are 2, 23, 409. Prime factorization of 18814 in exponential form is:

18814 = 2¹ × 23¹ × 409¹

Step-2: Prime Factorization of 18832

Prime factors of 18832 are 2, 11, 107. Prime factorization of 18832 in exponential form is:

18832 = 2⁴ × 11¹ × 107¹

Step-3: Factors of 18814

List of positive integer factors of 18814 that divides 18814 without a remainder.

1, 2, 23, 46, 409, 818, 9407

Step-4: Factors of 18832

List of positive integer factors of 18832 that divides 18814 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 107, 176, 214, 428, 856, 1177, 1712, 2354, 4708, 9416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18814 and 18832. The biggest common factor number is the GCF number.
So the greatest common factor 18814 and 18832 is 2.

Also check out the Least Common Multiple of 18814 and 18832