What is the Greatest Common Factor of 64545 and 64565?

Greatest common factor (GCF) of 64545 and 64565 is 5.

GCF(64545,64565) = 5

We will now calculate the prime factors of 64545 and 64565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64545 and 64565.

How to find the GCF of 64545 and 64565?

We will first find the prime factorization of 64545 and 64565. After we will calculate the factors of 64545 and 64565 and find the biggest common factor number .

Step-1: Prime Factorization of 64545

Prime factors of 64545 are 3, 5, 13, 331. Prime factorization of 64545 in exponential form is:

64545 = 3¹ × 5¹ × 13¹ × 331¹

Step-2: Prime Factorization of 64565

Prime factors of 64565 are 5, 37, 349. Prime factorization of 64565 in exponential form is:

64565 = 5¹ × 37¹ × 349¹

Step-3: Factors of 64545

List of positive integer factors of 64545 that divides 64545 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 331, 993, 1655, 4303, 4965, 12909, 21515

Step-4: Factors of 64565

List of positive integer factors of 64565 that divides 64545 without a remainder.

1, 5, 37, 185, 349, 1745, 12913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64545 and 64565. The biggest common factor number is the GCF number.
So the greatest common factor 64545 and 64565 is 5.

Also check out the Least Common Multiple of 64545 and 64565