What is the Greatest Common Factor of 63123 and 63138?

Greatest common factor (GCF) of 63123 and 63138 is 3.

GCF(63123,63138) = 3

We will now calculate the prime factors of 63123 and 63138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63123 and 63138.

How to find the GCF of 63123 and 63138?

We will first find the prime factorization of 63123 and 63138. After we will calculate the factors of 63123 and 63138 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 63138

Prime factors of 63138 are 2, 3, 17, 619. Prime factorization of 63138 in exponential form is:

63138 = 2¹ × 3¹ × 17¹ × 619¹

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 63138

List of positive integer factors of 63138 that divides 63123 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 619, 1238, 1857, 3714, 10523, 21046, 31569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63123 and 63138. The biggest common factor number is the GCF number.
So the greatest common factor 63123 and 63138 is 3.

Also check out the Least Common Multiple of 63123 and 63138