What is the Greatest Common Factor of 465 and 483?

Greatest common factor (GCF) of 465 and 483 is 3.

GCF(465,483) = 3

We will now calculate the prime factors of 465 and 483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 465 and 483.

How to find the GCF of 465 and 483?

We will first find the prime factorization of 465 and 483. After we will calculate the factors of 465 and 483 and find the biggest common factor number .

Step-1: Prime Factorization of 465

Prime factors of 465 are 3, 5, 31. Prime factorization of 465 in exponential form is:

465 = 3¹ × 5¹ × 31¹

Step-2: Prime Factorization of 483

Prime factors of 483 are 3, 7, 23. Prime factorization of 483 in exponential form is:

483 = 3¹ × 7¹ × 23¹

Step-3: Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155

Step-4: Factors of 483

List of positive integer factors of 483 that divides 465 without a remainder.

1, 3, 7, 21, 23, 69, 161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 465 and 483. The biggest common factor number is the GCF number.
So the greatest common factor 465 and 483 is 3.

Also check out the Least Common Multiple of 465 and 483