What is the Greatest Common Factor of 38285 and 38298?

Greatest common factor (GCF) of 38285 and 38298 is 13.

GCF(38285,38298) = 13

We will now calculate the prime factors of 38285 and 38298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38285 and 38298.

How to find the GCF of 38285 and 38298?

We will first find the prime factorization of 38285 and 38298. After we will calculate the factors of 38285 and 38298 and find the biggest common factor number .

Step-1: Prime Factorization of 38285

Prime factors of 38285 are 5, 13, 19, 31. Prime factorization of 38285 in exponential form is:

38285 = 5¹ × 13¹ × 19¹ × 31¹

Step-2: 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-3: Factors of 38285

List of positive integer factors of 38285 that divides 38285 without a remainder.

1, 5, 13, 19, 31, 65, 95, 155, 247, 403, 589, 1235, 2015, 2945, 7657

Step-4: Factors of 38298

List of positive integer factors of 38298 that divides 38285 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38285 and 38298. The biggest common factor number is the GCF number.
So the greatest common factor 38285 and 38298 is 13.

Also check out the Least Common Multiple of 38285 and 38298