What is the Greatest Common Factor of 481 and 501?

Greatest common factor (GCF) of 481 and 501 is 1.

GCF(481,501) = 1

We will now calculate the prime factors of 481 and 501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 481 and 501.

How to find the GCF of 481 and 501?

We will first find the prime factorization of 481 and 501. After we will calculate the factors of 481 and 501 and find the biggest common factor number .

Step-1: Prime Factorization of 481

Prime factors of 481 are 13, 37. Prime factorization of 481 in exponential form is:

481 = 13¹ × 37¹

Step-2: Prime Factorization of 501

Prime factors of 501 are 3, 167. Prime factorization of 501 in exponential form is:

501 = 3¹ × 167¹

Step-3: Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1, 13, 37

Step-4: Factors of 501

List of positive integer factors of 501 that divides 481 without a remainder.

1, 3, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 481 and 501. The biggest common factor number is the GCF number.
So the greatest common factor 481 and 501 is 1.

Also check out the Least Common Multiple of 481 and 501