What is the Greatest Common Factor of 18386 and 18402?

Greatest common factor (GCF) of 18386 and 18402 is 2.

GCF(18386,18402) = 2

We will now calculate the prime factors of 18386 and 18402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18386 and 18402.

How to find the GCF of 18386 and 18402?

We will first find the prime factorization of 18386 and 18402. After we will calculate the factors of 18386 and 18402 and find the biggest common factor number .

Step-1: Prime Factorization of 18386

Prime factors of 18386 are 2, 29, 317. Prime factorization of 18386 in exponential form is:

18386 = 2¹ × 29¹ × 317¹

Step-2: Prime Factorization of 18402

Prime factors of 18402 are 2, 3, 3067. Prime factorization of 18402 in exponential form is:

18402 = 2¹ × 3¹ × 3067¹

Step-3: Factors of 18386

List of positive integer factors of 18386 that divides 18386 without a remainder.

1, 2, 29, 58, 317, 634, 9193

Step-4: Factors of 18402

List of positive integer factors of 18402 that divides 18386 without a remainder.

1, 2, 3, 6, 3067, 6134, 9201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18386 and 18402. The biggest common factor number is the GCF number.
So the greatest common factor 18386 and 18402 is 2.

Also check out the Least Common Multiple of 18386 and 18402