What is the Greatest Common Factor of 38094 and 38103?

Greatest common factor (GCF) of 38094 and 38103 is 3.

GCF(38094,38103) = 3

We will now calculate the prime factors of 38094 and 38103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38094 and 38103.

How to find the GCF of 38094 and 38103?

We will first find the prime factorization of 38094 and 38103. After we will calculate the factors of 38094 and 38103 and find the biggest common factor number .

Step-1: Prime Factorization of 38094

Prime factors of 38094 are 2, 3, 7, 907. Prime factorization of 38094 in exponential form is:

38094 = 2¹ × 3¹ × 7¹ × 907¹

Step-2: Prime Factorization of 38103

Prime factors of 38103 are 3, 13, 977. Prime factorization of 38103 in exponential form is:

38103 = 3¹ × 13¹ × 977¹

Step-3: Factors of 38094

List of positive integer factors of 38094 that divides 38094 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 907, 1814, 2721, 5442, 6349, 12698, 19047

Step-4: Factors of 38103

List of positive integer factors of 38103 that divides 38094 without a remainder.

1, 3, 13, 39, 977, 2931, 12701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38094 and 38103. The biggest common factor number is the GCF number.
So the greatest common factor 38094 and 38103 is 3.

Also check out the Least Common Multiple of 38094 and 38103