What is the Greatest Common Factor of 63105 and 63123?

Greatest common factor (GCF) of 63105 and 63123 is 3.

GCF(63105,63123) = 3

We will now calculate the prime factors of 63105 and 63123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63105 and 63123.

How to find the GCF of 63105 and 63123?

We will first find the prime factorization of 63105 and 63123. After we will calculate the factors of 63105 and 63123 and find the biggest common factor number .

Step-1: Prime Factorization of 63105

Prime factors of 63105 are 3, 5, 7, 601. Prime factorization of 63105 in exponential form is:

63105 = 3¹ × 5¹ × 7¹ × 601¹

Step-2: 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-3: Factors of 63105

List of positive integer factors of 63105 that divides 63105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 601, 1803, 3005, 4207, 9015, 12621, 21035

Step-4: Factors of 63123

List of positive integer factors of 63123 that divides 63105 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63105 and 63123. The biggest common factor number is the GCF number.
So the greatest common factor 63105 and 63123 is 3.

Also check out the Least Common Multiple of 63105 and 63123