What is the Greatest Common Factor of 463 and 475?

Greatest common factor (GCF) of 463 and 475 is 1.

GCF(463,475) = 1

We will now calculate the prime factors of 463 and 475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 463 and 475.

How to find the GCF of 463 and 475?

We will first find the prime factorization of 463 and 475. After we will calculate the factors of 463 and 475 and find the biggest common factor number .

Step-1: Prime Factorization of 463

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 463¹

Step-2: Prime Factorization of 475

Prime factors of 475 are 5, 19. Prime factorization of 475 in exponential form is:

475 = 5² × 19¹

Step-3: Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

Step-4: Factors of 475

List of positive integer factors of 475 that divides 463 without a remainder.

1, 5, 19, 25, 95

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 463 and 475. The biggest common factor number is the GCF number.
So the greatest common factor 463 and 475 is 1.

Also check out the Least Common Multiple of 463 and 475