What is the Greatest Common Factor of 65395 and 65406?

Greatest common factor (GCF) of 65395 and 65406 is 11.

GCF(65395,65406) = 11

We will now calculate the prime factors of 65395 and 65406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65395 and 65406.

How to find the GCF of 65395 and 65406?

We will first find the prime factorization of 65395 and 65406. After we will calculate the factors of 65395 and 65406 and find the biggest common factor number .

Step-1: Prime Factorization of 65395

Prime factors of 65395 are 5, 11, 29, 41. Prime factorization of 65395 in exponential form is:

65395 = 5¹ × 11¹ × 29¹ × 41¹

Step-2: Prime Factorization of 65406

Prime factors of 65406 are 2, 3, 11, 991. Prime factorization of 65406 in exponential form is:

65406 = 2¹ × 3¹ × 11¹ × 991¹

Step-3: Factors of 65395

List of positive integer factors of 65395 that divides 65395 without a remainder.

1, 5, 11, 29, 41, 55, 145, 205, 319, 451, 1189, 1595, 2255, 5945, 13079

Step-4: Factors of 65406

List of positive integer factors of 65406 that divides 65395 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 991, 1982, 2973, 5946, 10901, 21802, 32703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65395 and 65406. The biggest common factor number is the GCF number.
So the greatest common factor 65395 and 65406 is 11.

Also check out the Least Common Multiple of 65395 and 65406