What is the Greatest Common Factor of 65800 and 65808?

Greatest common factor (GCF) of 65800 and 65808 is 8.

GCF(65800,65808) = 8

We will now calculate the prime factors of 65800 and 65808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65800 and 65808.

How to find the GCF of 65800 and 65808?

We will first find the prime factorization of 65800 and 65808. After we will calculate the factors of 65800 and 65808 and find the biggest common factor number .

Step-1: Prime Factorization of 65800

Prime factors of 65800 are 2, 5, 7, 47. Prime factorization of 65800 in exponential form is:

65800 = 2³ × 5² × 7¹ × 47¹

Step-2: Prime Factorization of 65808

Prime factors of 65808 are 2, 3, 457. Prime factorization of 65808 in exponential form is:

65808 = 2⁴ × 3² × 457¹

Step-3: Factors of 65800

List of positive integer factors of 65800 that divides 65800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 47, 50, 56, 70, 94, 100, 140, 175, 188, 200, 235, 280, 329, 350, 376, 470, 658, 700, 940, 1175, 1316, 1400, 1645, 1880, 2350, 2632, 3290, 4700, 6580, 8225, 9400, 13160, 16450, 32900

Step-4: Factors of 65808

List of positive integer factors of 65808 that divides 65800 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 7312, 8226, 10968, 16452, 21936, 32904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65800 and 65808. The biggest common factor number is the GCF number.
So the greatest common factor 65800 and 65808 is 8.

Also check out the Least Common Multiple of 65800 and 65808