What is the Greatest Common Factor of 38088 and 38100?

Greatest common factor (GCF) of 38088 and 38100 is 12.

GCF(38088,38100) = 12

We will now calculate the prime factors of 38088 and 38100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38088 and 38100.

How to find the GCF of 38088 and 38100?

We will first find the prime factorization of 38088 and 38100. After we will calculate the factors of 38088 and 38100 and find the biggest common factor number .

Step-1: Prime Factorization of 38088

Prime factors of 38088 are 2, 3, 23. Prime factorization of 38088 in exponential form is:

38088 = 2³ × 3² × 23²

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 38088

List of positive integer factors of 38088 that divides 38088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 529, 552, 828, 1058, 1587, 1656, 2116, 3174, 4232, 4761, 6348, 9522, 12696, 19044

Step-4: Factors of 38100

List of positive integer factors of 38100 that divides 38088 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 38088 and 38100. The biggest common factor number is the GCF number.
So the greatest common factor 38088 and 38100 is 12.

Also check out the Least Common Multiple of 38088 and 38100