What is the Greatest Common Factor of 38094 and 38100?

Greatest common factor (GCF) of 38094 and 38100 is 6.

GCF(38094,38100) = 6

We will now calculate the prime factors of 38094 and 38100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38094 and 38100.

How to find the GCF of 38094 and 38100?

We will first find the prime factorization of 38094 and 38100. After we will calculate the factors of 38094 and 38100 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 38100

Prime factors of 38100 are 2, 3, 5, 127. Prime factorization of 38100 in exponential form is:

38100 = 2² × 3¹ × 5² × 127¹

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 38100

List of positive integer factors of 38100 that divides 38094 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 127, 150, 254, 300, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3175, 3810, 6350, 7620, 9525, 12700, 19050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38094 and 38100. The biggest common factor number is the GCF number.
So the greatest common factor 38094 and 38100 is 6.

Also check out the Least Common Multiple of 38094 and 38100