What is the Greatest Common Factor of 18290 and 18294?

Greatest common factor (GCF) of 18290 and 18294 is 2.

GCF(18290,18294) = 2

We will now calculate the prime factors of 18290 and 18294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18290 and 18294.

How to find the GCF of 18290 and 18294?

We will first find the prime factorization of 18290 and 18294. After we will calculate the factors of 18290 and 18294 and find the biggest common factor number .

Step-1: Prime Factorization of 18290

Prime factors of 18290 are 2, 5, 31, 59. Prime factorization of 18290 in exponential form is:

18290 = 2¹ × 5¹ × 31¹ × 59¹

Step-2: Prime Factorization of 18294

Prime factors of 18294 are 2, 3, 3049. Prime factorization of 18294 in exponential form is:

18294 = 2¹ × 3¹ × 3049¹

Step-3: Factors of 18290

List of positive integer factors of 18290 that divides 18290 without a remainder.

1, 2, 5, 10, 31, 59, 62, 118, 155, 295, 310, 590, 1829, 3658, 9145

Step-4: Factors of 18294

List of positive integer factors of 18294 that divides 18290 without a remainder.

1, 2, 3, 6, 3049, 6098, 9147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18290 and 18294. The biggest common factor number is the GCF number.
So the greatest common factor 18290 and 18294 is 2.

Also check out the Least Common Multiple of 18290 and 18294