What is the Greatest Common Factor of 63123 and 63141?

Greatest common factor (GCF) of 63123 and 63141 is 3.

GCF(63123,63141) = 3

We will now calculate the prime factors of 63123 and 63141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63123 and 63141.

How to find the GCF of 63123 and 63141?

We will first find the prime factorization of 63123 and 63141. After we will calculate the factors of 63123 and 63141 and find the biggest common factor number .

Step-1: Prime Factorization of 63123

Prime factors of 63123 are 3, 53, 397. Prime factorization of 63123 in exponential form is:

63123 = 3¹ × 53¹ × 397¹

Step-2: 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-3: Factors of 63123

List of positive integer factors of 63123 that divides 63123 without a remainder.

1, 3, 53, 159, 397, 1191, 21041

Step-4: Factors of 63141

List of positive integer factors of 63141 that divides 63123 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63123 and 63141. The biggest common factor number is the GCF number.
So the greatest common factor 63123 and 63141 is 3.

Also check out the Least Common Multiple of 63123 and 63141