What is the Greatest Common Factor of 38298 and 38311?

Greatest common factor (GCF) of 38298 and 38311 is 13.

GCF(38298,38311) = 13

We will now calculate the prime factors of 38298 and 38311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38298 and 38311.

How to find the GCF of 38298 and 38311?

We will first find the prime factorization of 38298 and 38311. After we will calculate the factors of 38298 and 38311 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 38311

Prime factors of 38311 are 7, 13, 421. Prime factorization of 38311 in exponential form is:

38311 = 7¹ × 13¹ × 421¹

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 38311

List of positive integer factors of 38311 that divides 38298 without a remainder.

1, 7, 13, 91, 421, 2947, 5473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38298 and 38311. The biggest common factor number is the GCF number.
So the greatest common factor 38298 and 38311 is 13.

Also check out the Least Common Multiple of 38298 and 38311