What is the Greatest Common Factor of 65493 and 65505?

Greatest common factor (GCF) of 65493 and 65505 is 3.

GCF(65493,65505) = 3

We will now calculate the prime factors of 65493 and 65505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65493 and 65505.

How to find the GCF of 65493 and 65505?

We will first find the prime factorization of 65493 and 65505. After we will calculate the factors of 65493 and 65505 and find the biggest common factor number .

Step-1: Prime Factorization of 65493

Prime factors of 65493 are 3, 19, 383. Prime factorization of 65493 in exponential form is:

65493 = 3² × 19¹ × 383¹

Step-2: Prime Factorization of 65505

Prime factors of 65505 are 3, 5, 11, 397. Prime factorization of 65505 in exponential form is:

65505 = 3¹ × 5¹ × 11¹ × 397¹

Step-3: Factors of 65493

List of positive integer factors of 65493 that divides 65493 without a remainder.

1, 3, 9, 19, 57, 171, 383, 1149, 3447, 7277, 21831

Step-4: Factors of 65505

List of positive integer factors of 65505 that divides 65493 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 397, 1191, 1985, 4367, 5955, 13101, 21835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65493 and 65505. The biggest common factor number is the GCF number.
So the greatest common factor 65493 and 65505 is 3.

Also check out the Least Common Multiple of 65493 and 65505