What is the Greatest Common Factor of 65830 and 65840?

Greatest common factor (GCF) of 65830 and 65840 is 10.

GCF(65830,65840) = 10

We will now calculate the prime factors of 65830 and 65840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65830 and 65840.

How to find the GCF of 65830 and 65840?

We will first find the prime factorization of 65830 and 65840. After we will calculate the factors of 65830 and 65840 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65840

Prime factors of 65840 are 2, 5, 823. Prime factorization of 65840 in exponential form is:

65840 = 2⁴ × 5¹ × 823¹

Step-3: Factors of 65830

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

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

Step-4: Factors of 65840

List of positive integer factors of 65840 that divides 65830 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 823, 1646, 3292, 4115, 6584, 8230, 13168, 16460, 32920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65830 and 65840. The biggest common factor number is the GCF number.
So the greatest common factor 65830 and 65840 is 10.

Also check out the Least Common Multiple of 65830 and 65840