What is the Greatest Common Factor of 18290 and 18295?

Greatest common factor (GCF) of 18290 and 18295 is 5.

GCF(18290,18295) = 5

We will now calculate the prime factors of 18290 and 18295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18290 and 18295.

How to find the GCF of 18290 and 18295?

We will first find the prime factorization of 18290 and 18295. After we will calculate the factors of 18290 and 18295 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 18295

Prime factors of 18295 are 5, 3659. Prime factorization of 18295 in exponential form is:

18295 = 5¹ × 3659¹

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 18295

List of positive integer factors of 18295 that divides 18290 without a remainder.

1, 5, 3659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18290 and 18295. The biggest common factor number is the GCF number.
So the greatest common factor 18290 and 18295 is 5.

Also check out the Least Common Multiple of 18290 and 18295