What is the Greatest Common Factor of 38350 and 38363?

Greatest common factor (GCF) of 38350 and 38363 is 13.

GCF(38350,38363) = 13

We will now calculate the prime factors of 38350 and 38363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38350 and 38363.

How to find the GCF of 38350 and 38363?

We will first find the prime factorization of 38350 and 38363. After we will calculate the factors of 38350 and 38363 and find the biggest common factor number .

Step-1: Prime Factorization of 38350

Prime factors of 38350 are 2, 5, 13, 59. Prime factorization of 38350 in exponential form is:

38350 = 2¹ × 5² × 13¹ × 59¹

Step-2: Prime Factorization of 38363

Prime factors of 38363 are 13, 227. Prime factorization of 38363 in exponential form is:

38363 = 13² × 227¹

Step-3: Factors of 38350

List of positive integer factors of 38350 that divides 38350 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 59, 65, 118, 130, 295, 325, 590, 650, 767, 1475, 1534, 2950, 3835, 7670, 19175

Step-4: Factors of 38363

List of positive integer factors of 38363 that divides 38350 without a remainder.

1, 13, 169, 227, 2951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38350 and 38363. The biggest common factor number is the GCF number.
So the greatest common factor 38350 and 38363 is 13.

Also check out the Least Common Multiple of 38350 and 38363