What is the Greatest Common Factor of 63141 and 63159?

Greatest common factor (GCF) of 63141 and 63159 is 3.

GCF(63141,63159) = 3

We will now calculate the prime factors of 63141 and 63159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63141 and 63159.

How to find the GCF of 63141 and 63159?

We will first find the prime factorization of 63141 and 63159. After we will calculate the factors of 63141 and 63159 and find the biggest common factor number .

Step-1: Prime Factorization of 63141

Prime factors of 63141 are 3, 13, 1619. Prime factorization of 63141 in exponential form is:

63141 = 3¹ × 13¹ × 1619¹

Step-2: Prime Factorization of 63159

Prime factors of 63159 are 3, 37, 569. Prime factorization of 63159 in exponential form is:

63159 = 3¹ × 37¹ × 569¹

Step-3: Factors of 63141

List of positive integer factors of 63141 that divides 63141 without a remainder.

1, 3, 13, 39, 1619, 4857, 21047

Step-4: Factors of 63159

List of positive integer factors of 63159 that divides 63141 without a remainder.

1, 3, 37, 111, 569, 1707, 21053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63141 and 63159. The biggest common factor number is the GCF number.
So the greatest common factor 63141 and 63159 is 3.

Also check out the Least Common Multiple of 63141 and 63159