What is the Greatest Common Factor of 38038 and 38042?

Greatest common factor (GCF) of 38038 and 38042 is 2.

GCF(38038,38042) = 2

We will now calculate the prime factors of 38038 and 38042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38038 and 38042.

How to find the GCF of 38038 and 38042?

We will first find the prime factorization of 38038 and 38042. After we will calculate the factors of 38038 and 38042 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 38042

Prime factors of 38042 are 2, 23, 827. Prime factorization of 38042 in exponential form is:

38042 = 2¹ × 23¹ × 827¹

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 38042

List of positive integer factors of 38042 that divides 38038 without a remainder.

1, 2, 23, 46, 827, 1654, 19021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38038 and 38042. The biggest common factor number is the GCF number.
So the greatest common factor 38038 and 38042 is 2.

Also check out the Least Common Multiple of 38038 and 38042