What is the Greatest Common Factor of 65782 and 65800?

Greatest common factor (GCF) of 65782 and 65800 is 2.

GCF(65782,65800) = 2

We will now calculate the prime factors of 65782 and 65800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65782 and 65800.

How to find the GCF of 65782 and 65800?

We will first find the prime factorization of 65782 and 65800. After we will calculate the factors of 65782 and 65800 and find the biggest common factor number .

Step-1: Prime Factorization of 65782

Prime factors of 65782 are 2, 31, 1061. Prime factorization of 65782 in exponential form is:

65782 = 2¹ × 31¹ × 1061¹

Step-2: 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-3: Factors of 65782

List of positive integer factors of 65782 that divides 65782 without a remainder.

1, 2, 31, 62, 1061, 2122, 32891

Step-4: Factors of 65800

List of positive integer factors of 65800 that divides 65782 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65782 and 65800. The biggest common factor number is the GCF number.
So the greatest common factor 65782 and 65800 is 2.

Also check out the Least Common Multiple of 65782 and 65800