What is the Greatest Common Factor of 65816 and 65830?

Greatest common factor (GCF) of 65816 and 65830 is 2.

GCF(65816,65830) = 2

We will now calculate the prime factors of 65816 and 65830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65816 and 65830.

How to find the GCF of 65816 and 65830?

We will first find the prime factorization of 65816 and 65830. After we will calculate the factors of 65816 and 65830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65830

Prime factors of 65830 are 2, 5, 29, 227. Prime factorization of 65830 in exponential form is:

65830 = 2¹ × 5¹ × 29¹ × 227¹

Step-3: Factors of 65816

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

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

Step-4: Factors of 65830

List of positive integer factors of 65830 that divides 65816 without a remainder.

1, 2, 5, 10, 29, 58, 145, 227, 290, 454, 1135, 2270, 6583, 13166, 32915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65816 and 65830. The biggest common factor number is the GCF number.
So the greatest common factor 65816 and 65830 is 2.

Also check out the Least Common Multiple of 65816 and 65830