What is the Greatest Common Factor of 35788 and 35800?

Greatest common factor (GCF) of 35788 and 35800 is 4.

GCF(35788,35800) = 4

We will now calculate the prime factors of 35788 and 35800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35788 and 35800.

How to find the GCF of 35788 and 35800?

We will first find the prime factorization of 35788 and 35800. After we will calculate the factors of 35788 and 35800 and find the biggest common factor number .

Step-1: Prime Factorization of 35788

Prime factors of 35788 are 2, 23, 389. Prime factorization of 35788 in exponential form is:

35788 = 2² × 23¹ × 389¹

Step-2: Prime Factorization of 35800

Prime factors of 35800 are 2, 5, 179. Prime factorization of 35800 in exponential form is:

35800 = 2³ × 5² × 179¹

Step-3: Factors of 35788

List of positive integer factors of 35788 that divides 35788 without a remainder.

1, 2, 4, 23, 46, 92, 389, 778, 1556, 8947, 17894

Step-4: Factors of 35800

List of positive integer factors of 35800 that divides 35788 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 179, 200, 358, 716, 895, 1432, 1790, 3580, 4475, 7160, 8950, 17900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35788 and 35800. The biggest common factor number is the GCF number.
So the greatest common factor 35788 and 35800 is 4.

Also check out the Least Common Multiple of 35788 and 35800