What is the Greatest Common Factor of 39792 and 39800?

Greatest common factor (GCF) of 39792 and 39800 is 8.

GCF(39792,39800) = 8

We will now calculate the prime factors of 39792 and 39800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39792 and 39800.

How to find the GCF of 39792 and 39800?

We will first find the prime factorization of 39792 and 39800. After we will calculate the factors of 39792 and 39800 and find the biggest common factor number .

Step-1: Prime Factorization of 39792

Prime factors of 39792 are 2, 3, 829. Prime factorization of 39792 in exponential form is:

39792 = 2⁴ × 3¹ × 829¹

Step-2: Prime Factorization of 39800

Prime factors of 39800 are 2, 5, 199. Prime factorization of 39800 in exponential form is:

39800 = 2³ × 5² × 199¹

Step-3: Factors of 39792

List of positive integer factors of 39792 that divides 39792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 829, 1658, 2487, 3316, 4974, 6632, 9948, 13264, 19896

Step-4: Factors of 39800

List of positive integer factors of 39800 that divides 39792 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 199, 200, 398, 796, 995, 1592, 1990, 3980, 4975, 7960, 9950, 19900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39792 and 39800. The biggest common factor number is the GCF number.
So the greatest common factor 39792 and 39800 is 8.

Also check out the Least Common Multiple of 39792 and 39800