What is the Greatest Common Factor of 65481 and 65499?

Greatest common factor (GCF) of 65481 and 65499 is 3.

GCF(65481,65499) = 3

We will now calculate the prime factors of 65481 and 65499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65481 and 65499.

How to find the GCF of 65481 and 65499?

We will first find the prime factorization of 65481 and 65499. After we will calculate the factors of 65481 and 65499 and find the biggest common factor number .

Step-1: Prime Factorization of 65481

Prime factors of 65481 are 3, 13, 23, 73. Prime factorization of 65481 in exponential form is:

65481 = 3¹ × 13¹ × 23¹ × 73¹

Step-2: Prime Factorization of 65499

Prime factors of 65499 are 3, 7, 3119. Prime factorization of 65499 in exponential form is:

65499 = 3¹ × 7¹ × 3119¹

Step-3: Factors of 65481

List of positive integer factors of 65481 that divides 65481 without a remainder.

1, 3, 13, 23, 39, 69, 73, 219, 299, 897, 949, 1679, 2847, 5037, 21827

Step-4: Factors of 65499

List of positive integer factors of 65499 that divides 65481 without a remainder.

1, 3, 7, 21, 3119, 9357, 21833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65481 and 65499. The biggest common factor number is the GCF number.
So the greatest common factor 65481 and 65499 is 3.

Also check out the Least Common Multiple of 65481 and 65499