What is the Greatest Common Factor of 63543 and 63553?

Greatest common factor (GCF) of 63543 and 63553 is 1.

GCF(63543,63553) = 1

We will now calculate the prime factors of 63543 and 63553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63543 and 63553.

How to find the GCF of 63543 and 63553?

We will first find the prime factorization of 63543 and 63553. After we will calculate the factors of 63543 and 63553 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 63553

Prime factors of 63553 are 7, 1297. Prime factorization of 63553 in exponential form is:

63553 = 7² × 1297¹

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 63553

List of positive integer factors of 63553 that divides 63543 without a remainder.

1, 7, 49, 1297, 9079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63543 and 63553. The biggest common factor number is the GCF number.
So the greatest common factor 63543 and 63553 is 1.

Also check out the Least Common Multiple of 63543 and 63553