What is the Greatest Common Factor of 35780 and 35800?

Greatest common factor (GCF) of 35780 and 35800 is 20.

GCF(35780,35800) = 20

We will now calculate the prime factors of 35780 and 35800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35780 and 35800.

How to find the GCF of 35780 and 35800?

We will first find the prime factorization of 35780 and 35800. After we will calculate the factors of 35780 and 35800 and find the biggest common factor number .

Step-1: Prime Factorization of 35780

Prime factors of 35780 are 2, 5, 1789. Prime factorization of 35780 in exponential form is:

35780 = 2² × 5¹ × 1789¹

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 35780

List of positive integer factors of 35780 that divides 35780 without a remainder.

1, 2, 4, 5, 10, 20, 1789, 3578, 7156, 8945, 17890

Step-4: Factors of 35800

List of positive integer factors of 35800 that divides 35780 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 35780 and 35800. The biggest common factor number is the GCF number.
So the greatest common factor 35780 and 35800 is 20.

Also check out the Least Common Multiple of 35780 and 35800