What is the Greatest Common Factor of 38298 and 38318?

Greatest common factor (GCF) of 38298 and 38318 is 2.

GCF(38298,38318) = 2

We will now calculate the prime factors of 38298 and 38318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38298 and 38318.

How to find the GCF of 38298 and 38318?

We will first find the prime factorization of 38298 and 38318. After we will calculate the factors of 38298 and 38318 and find the biggest common factor number .

Step-1: Prime Factorization of 38298

Prime factors of 38298 are 2, 3, 13, 491. Prime factorization of 38298 in exponential form is:

38298 = 2¹ × 3¹ × 13¹ × 491¹

Step-2: Prime Factorization of 38318

Prime factors of 38318 are 2, 7, 17, 23. Prime factorization of 38318 in exponential form is:

38318 = 2¹ × 7² × 17¹ × 23¹

Step-3: Factors of 38298

List of positive integer factors of 38298 that divides 38298 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 491, 982, 1473, 2946, 6383, 12766, 19149

Step-4: Factors of 38318

List of positive integer factors of 38318 that divides 38298 without a remainder.

1, 2, 7, 14, 17, 23, 34, 46, 49, 98, 119, 161, 238, 322, 391, 782, 833, 1127, 1666, 2254, 2737, 5474, 19159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38298 and 38318. The biggest common factor number is the GCF number.
So the greatest common factor 38298 and 38318 is 2.

Also check out the Least Common Multiple of 38298 and 38318