What is the Greatest Common Factor of 38027 and 38038?

Greatest common factor (GCF) of 38027 and 38038 is 11.

GCF(38027,38038) = 11

We will now calculate the prime factors of 38027 and 38038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38027 and 38038.

How to find the GCF of 38027 and 38038?

We will first find the prime factorization of 38027 and 38038. After we will calculate the factors of 38027 and 38038 and find the biggest common factor number .

Step-1: Prime Factorization of 38027

Prime factors of 38027 are 11, 3457. Prime factorization of 38027 in exponential form is:

38027 = 11¹ × 3457¹

Step-2: 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-3: Factors of 38027

List of positive integer factors of 38027 that divides 38027 without a remainder.

1, 11, 3457

Step-4: Factors of 38038

List of positive integer factors of 38038 that divides 38027 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38027 and 38038. The biggest common factor number is the GCF number.
So the greatest common factor 38027 and 38038 is 11.

Also check out the Least Common Multiple of 38027 and 38038