What is the Greatest Common Factor of 38038 and 38043?

Greatest common factor (GCF) of 38038 and 38043 is 1.

GCF(38038,38043) = 1

We will now calculate the prime factors of 38038 and 38043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38038 and 38043.

How to find the GCF of 38038 and 38043?

We will first find the prime factorization of 38038 and 38043. After we will calculate the factors of 38038 and 38043 and find the biggest common factor number .

Step-1: Prime Factorization of 38038

Prime factors of 38038 are 2, 7, 11, 13, 19. Prime factorization of 38038 in exponential form is:

38038 = 2¹ × 7¹ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 38043

Prime factors of 38043 are 3, 1409. Prime factorization of 38043 in exponential form is:

38043 = 3³ × 1409¹

Step-3: Factors of 38038

List of positive integer factors of 38038 that divides 38038 without a remainder.

1, 2, 7, 11, 13, 14, 19, 22, 26, 38, 77, 91, 133, 143, 154, 182, 209, 247, 266, 286, 418, 494, 1001, 1463, 1729, 2002, 2717, 2926, 3458, 5434, 19019

Step-4: Factors of 38043

List of positive integer factors of 38043 that divides 38038 without a remainder.

1, 3, 9, 27, 1409, 4227, 12681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38038 and 38043. The biggest common factor number is the GCF number.
So the greatest common factor 38038 and 38043 is 1.

Also check out the Least Common Multiple of 38038 and 38043