What is the Greatest Common Factor of 18470 and 18476?

Greatest common factor (GCF) of 18470 and 18476 is 2.

GCF(18470,18476) = 2

We will now calculate the prime factors of 18470 and 18476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18470 and 18476.

How to find the GCF of 18470 and 18476?

We will first find the prime factorization of 18470 and 18476. After we will calculate the factors of 18470 and 18476 and find the biggest common factor number .

Step-1: Prime Factorization of 18470

Prime factors of 18470 are 2, 5, 1847. Prime factorization of 18470 in exponential form is:

18470 = 2¹ × 5¹ × 1847¹

Step-2: Prime Factorization of 18476

Prime factors of 18476 are 2, 31, 149. Prime factorization of 18476 in exponential form is:

18476 = 2² × 31¹ × 149¹

Step-3: Factors of 18470

List of positive integer factors of 18470 that divides 18470 without a remainder.

1, 2, 5, 10, 1847, 3694, 9235

Step-4: Factors of 18476

List of positive integer factors of 18476 that divides 18470 without a remainder.

1, 2, 4, 31, 62, 124, 149, 298, 596, 4619, 9238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18470 and 18476. The biggest common factor number is the GCF number.
So the greatest common factor 18470 and 18476 is 2.

Also check out the Least Common Multiple of 18470 and 18476