What is the Greatest Common Factor of 65645 and 65665?

Greatest common factor (GCF) of 65645 and 65665 is 5.

GCF(65645,65665) = 5

We will now calculate the prime factors of 65645 and 65665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65645 and 65665.

How to find the GCF of 65645 and 65665?

We will first find the prime factorization of 65645 and 65665. After we will calculate the factors of 65645 and 65665 and find the biggest common factor number .

Step-1: Prime Factorization of 65645

Prime factors of 65645 are 5, 19, 691. Prime factorization of 65645 in exponential form is:

65645 = 5¹ × 19¹ × 691¹

Step-2: Prime Factorization of 65665

Prime factors of 65665 are 5, 23, 571. Prime factorization of 65665 in exponential form is:

65665 = 5¹ × 23¹ × 571¹

Step-3: Factors of 65645

List of positive integer factors of 65645 that divides 65645 without a remainder.

1, 5, 19, 95, 691, 3455, 13129

Step-4: Factors of 65665

List of positive integer factors of 65665 that divides 65645 without a remainder.

1, 5, 23, 115, 571, 2855, 13133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65645 and 65665. The biggest common factor number is the GCF number.
So the greatest common factor 65645 and 65665 is 5.

Also check out the Least Common Multiple of 65645 and 65665