What is the Greatest Common Factor of 65345 and 65355?

Greatest common factor (GCF) of 65345 and 65355 is 5.

GCF(65345,65355) = 5

We will now calculate the prime factors of 65345 and 65355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65345 and 65355.

How to find the GCF of 65345 and 65355?

We will first find the prime factorization of 65345 and 65355. After we will calculate the factors of 65345 and 65355 and find the biggest common factor number .

Step-1: Prime Factorization of 65345

Prime factors of 65345 are 5, 7, 1867. Prime factorization of 65345 in exponential form is:

65345 = 5¹ × 7¹ × 1867¹

Step-2: Prime Factorization of 65355

Prime factors of 65355 are 3, 5, 4357. Prime factorization of 65355 in exponential form is:

65355 = 3¹ × 5¹ × 4357¹

Step-3: Factors of 65345

List of positive integer factors of 65345 that divides 65345 without a remainder.

1, 5, 7, 35, 1867, 9335, 13069

Step-4: Factors of 65355

List of positive integer factors of 65355 that divides 65345 without a remainder.

1, 3, 5, 15, 4357, 13071, 21785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65345 and 65355. The biggest common factor number is the GCF number.
So the greatest common factor 65345 and 65355 is 5.

Also check out the Least Common Multiple of 65345 and 65355