What is the Greatest Common Factor of 35800 and 35808?

Greatest common factor (GCF) of 35800 and 35808 is 8.

GCF(35800,35808) = 8

We will now calculate the prime factors of 35800 and 35808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35800 and 35808.

How to find the GCF of 35800 and 35808?

We will first find the prime factorization of 35800 and 35808. After we will calculate the factors of 35800 and 35808 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35808

Prime factors of 35808 are 2, 3, 373. Prime factorization of 35808 in exponential form is:

35808 = 2⁵ × 3¹ × 373¹

Step-3: Factors of 35800

List of positive integer factors of 35800 that divides 35800 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

Step-4: Factors of 35808

List of positive integer factors of 35808 that divides 35800 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952, 11936, 17904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35800 and 35808. The biggest common factor number is the GCF number.
So the greatest common factor 35800 and 35808 is 8.

Also check out the Least Common Multiple of 35800 and 35808