What is the Greatest Common Factor of 63543 and 63555?

Greatest common factor (GCF) of 63543 and 63555 is 3.

GCF(63543,63555) = 3

We will now calculate the prime factors of 63543 and 63555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63543 and 63555.

How to find the GCF of 63543 and 63555?

We will first find the prime factorization of 63543 and 63555. After we will calculate the factors of 63543 and 63555 and find the biggest common factor number .

Step-1: Prime Factorization of 63543

Prime factors of 63543 are 3, 59, 359. Prime factorization of 63543 in exponential form is:

63543 = 3¹ × 59¹ × 359¹

Step-2: Prime Factorization of 63555

Prime factors of 63555 are 3, 5, 19, 223. Prime factorization of 63555 in exponential form is:

63555 = 3¹ × 5¹ × 19¹ × 223¹

Step-3: Factors of 63543

List of positive integer factors of 63543 that divides 63543 without a remainder.

1, 3, 59, 177, 359, 1077, 21181

Step-4: Factors of 63555

List of positive integer factors of 63555 that divides 63543 without a remainder.

1, 3, 5, 15, 19, 57, 95, 223, 285, 669, 1115, 3345, 4237, 12711, 21185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63543 and 63555. The biggest common factor number is the GCF number.
So the greatest common factor 63543 and 63555 is 3.

Also check out the Least Common Multiple of 63543 and 63555