What is the Greatest Common Factor of 63105 and 63111?

Greatest common factor (GCF) of 63105 and 63111 is 3.

GCF(63105,63111) = 3

We will now calculate the prime factors of 63105 and 63111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63105 and 63111.

How to find the GCF of 63105 and 63111?

We will first find the prime factorization of 63105 and 63111. After we will calculate the factors of 63105 and 63111 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 63111

Prime factors of 63111 are 3, 109, 193. Prime factorization of 63111 in exponential form is:

63111 = 3¹ × 109¹ × 193¹

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 63111

List of positive integer factors of 63111 that divides 63105 without a remainder.

1, 3, 109, 193, 327, 579, 21037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63105 and 63111. The biggest common factor number is the GCF number.
So the greatest common factor 63105 and 63111 is 3.

Also check out the Least Common Multiple of 63105 and 63111