What is the Greatest Common Factor of 4465 and 4483?

Greatest common factor (GCF) of 4465 and 4483 is 1.

GCF(4465,4483) = 1

We will now calculate the prime factors of 4465 and 4483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4465 and 4483.

How to find the GCF of 4465 and 4483?

We will first find the prime factorization of 4465 and 4483. After we will calculate the factors of 4465 and 4483 and find the biggest common factor number .

Step-1: Prime Factorization of 4465

Prime factors of 4465 are 5, 19, 47. Prime factorization of 4465 in exponential form is:

4465 = 5¹ × 19¹ × 47¹

Step-2: Prime Factorization of 4483

Prime factors of 4483 are 4483. Prime factorization of 4483 in exponential form is:

4483 = 4483¹

Step-3: Factors of 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1, 5, 19, 47, 95, 235, 893

Step-4: Factors of 4483

List of positive integer factors of 4483 that divides 4465 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4465 and 4483. The biggest common factor number is the GCF number.
So the greatest common factor 4465 and 4483 is 1.

Also check out the Least Common Multiple of 4465 and 4483