What is the Greatest Common Factor of 18476 and 18494?

Greatest common factor (GCF) of 18476 and 18494 is 2.

GCF(18476,18494) = 2

We will now calculate the prime factors of 18476 and 18494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18476 and 18494.

How to find the GCF of 18476 and 18494?

We will first find the prime factorization of 18476 and 18494. After we will calculate the factors of 18476 and 18494 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18494

Prime factors of 18494 are 2, 7, 1321. Prime factorization of 18494 in exponential form is:

18494 = 2¹ × 7¹ × 1321¹

Step-3: Factors of 18476

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

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

Step-4: Factors of 18494

List of positive integer factors of 18494 that divides 18476 without a remainder.

1, 2, 7, 14, 1321, 2642, 9247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18476 and 18494. The biggest common factor number is the GCF number.
So the greatest common factor 18476 and 18494 is 2.

Also check out the Least Common Multiple of 18476 and 18494