What is the Greatest Common Factor of 63005 and 63017?

Greatest common factor (GCF) of 63005 and 63017 is 1.

GCF(63005,63017) = 1

We will now calculate the prime factors of 63005 and 63017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63005 and 63017.

How to find the GCF of 63005 and 63017?

We will first find the prime factorization of 63005 and 63017. After we will calculate the factors of 63005 and 63017 and find the biggest common factor number .

Step-1: Prime Factorization of 63005

Prime factors of 63005 are 5, 12601. Prime factorization of 63005 in exponential form is:

63005 = 5¹ × 12601¹

Step-2: Prime Factorization of 63017

Prime factors of 63017 are 29, 41, 53. Prime factorization of 63017 in exponential form is:

63017 = 29¹ × 41¹ × 53¹

Step-3: Factors of 63005

List of positive integer factors of 63005 that divides 63005 without a remainder.

1, 5, 12601

Step-4: Factors of 63017

List of positive integer factors of 63017 that divides 63005 without a remainder.

1, 29, 41, 53, 1189, 1537, 2173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63005 and 63017. The biggest common factor number is the GCF number.
So the greatest common factor 63005 and 63017 is 1.

Also check out the Least Common Multiple of 63005 and 63017