What is the Greatest Common Factor of 38700 and 38707?

Greatest common factor (GCF) of 38700 and 38707 is 1.

GCF(38700,38707) = 1

We will now calculate the prime factors of 38700 and 38707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38700 and 38707.

How to find the GCF of 38700 and 38707?

We will first find the prime factorization of 38700 and 38707. After we will calculate the factors of 38700 and 38707 and find the biggest common factor number .

Step-1: Prime Factorization of 38700

Prime factors of 38700 are 2, 3, 5, 43. Prime factorization of 38700 in exponential form is:

38700 = 2² × 3² × 5² × 43¹

Step-2: Prime Factorization of 38707

Prime factors of 38707 are 38707. Prime factorization of 38707 in exponential form is:

38707 = 38707¹

Step-3: Factors of 38700

List of positive integer factors of 38700 that divides 38700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 43, 45, 50, 60, 75, 86, 90, 100, 129, 150, 172, 180, 215, 225, 258, 300, 387, 430, 450, 516, 645, 774, 860, 900, 1075, 1290, 1548, 1935, 2150, 2580, 3225, 3870, 4300, 6450, 7740, 9675, 12900, 19350

Step-4: Factors of 38707

List of positive integer factors of 38707 that divides 38700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38700 and 38707. The biggest common factor number is the GCF number.
So the greatest common factor 38700 and 38707 is 1.

Also check out the Least Common Multiple of 38700 and 38707