What is the Greatest Common Factor of 460 and 467?

Greatest common factor (GCF) of 460 and 467 is 1.

GCF(460,467) = 1

We will now calculate the prime factors of 460 and 467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 460 and 467.

How to find the GCF of 460 and 467?

We will first find the prime factorization of 460 and 467. After we will calculate the factors of 460 and 467 and find the biggest common factor number .

Step-1: Prime Factorization of 460

Prime factors of 460 are 2, 5, 23. Prime factorization of 460 in exponential form is:

460 = 2² × 5¹ × 23¹

Step-2: Prime Factorization of 467

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 467¹

Step-3: Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230

Step-4: Factors of 467

List of positive integer factors of 467 that divides 460 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 460 and 467. The biggest common factor number is the GCF number.
So the greatest common factor 460 and 467 is 1.

Also check out the Least Common Multiple of 460 and 467