What is the Greatest Common Factor of 65800 and 65816?

Greatest common factor (GCF) of 65800 and 65816 is 8.

GCF(65800,65816) = 8

We will now calculate the prime factors of 65800 and 65816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65800 and 65816.

How to find the GCF of 65800 and 65816?

We will first find the prime factorization of 65800 and 65816. After we will calculate the factors of 65800 and 65816 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 65816

Prime factors of 65816 are 2, 19, 433. Prime factorization of 65816 in exponential form is:

65816 = 2³ × 19¹ × 433¹

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 65816

List of positive integer factors of 65816 that divides 65800 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 433, 866, 1732, 3464, 8227, 16454, 32908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65800 and 65816. The biggest common factor number is the GCF number.
So the greatest common factor 65800 and 65816 is 8.

Also check out the Least Common Multiple of 65800 and 65816