What is the Greatest Common Factor of 63027 and 63041?

Greatest common factor (GCF) of 63027 and 63041 is 1.

GCF(63027,63041) = 1

We will now calculate the prime factors of 63027 and 63041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63027 and 63041.

How to find the GCF of 63027 and 63041?

We will first find the prime factorization of 63027 and 63041. After we will calculate the factors of 63027 and 63041 and find the biggest common factor number .

Step-1: Prime Factorization of 63027

Prime factors of 63027 are 3, 47, 149. Prime factorization of 63027 in exponential form is:

63027 = 3² × 47¹ × 149¹

Step-2: Prime Factorization of 63041

Prime factors of 63041 are 11, 521. Prime factorization of 63041 in exponential form is:

63041 = 11² × 521¹

Step-3: Factors of 63027

List of positive integer factors of 63027 that divides 63027 without a remainder.

1, 3, 9, 47, 141, 149, 423, 447, 1341, 7003, 21009

Step-4: Factors of 63041

List of positive integer factors of 63041 that divides 63027 without a remainder.

1, 11, 121, 521, 5731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63027 and 63041. The biggest common factor number is the GCF number.
So the greatest common factor 63027 and 63041 is 1.

Also check out the Least Common Multiple of 63027 and 63041