What is the Greatest Common Factor of 63537 and 63543?

Greatest common factor (GCF) of 63537 and 63543 is 3.

GCF(63537,63543) = 3

We will now calculate the prime factors of 63537 and 63543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63537 and 63543.

How to find the GCF of 63537 and 63543?

We will first find the prime factorization of 63537 and 63543. After we will calculate the factors of 63537 and 63543 and find the biggest common factor number .

Step-1: Prime Factorization of 63537

Prime factors of 63537 are 3, 21179. Prime factorization of 63537 in exponential form is:

63537 = 3¹ × 21179¹

Step-2: 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-3: Factors of 63537

List of positive integer factors of 63537 that divides 63537 without a remainder.

1, 3, 21179

Step-4: Factors of 63543

List of positive integer factors of 63543 that divides 63537 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63537 and 63543. The biggest common factor number is the GCF number.
So the greatest common factor 63537 and 63543 is 3.

Also check out the Least Common Multiple of 63537 and 63543