What is the Greatest Common Factor of 63243 and 63261?

Greatest common factor (GCF) of 63243 and 63261 is 9.

GCF(63243,63261) = 9

We will now calculate the prime factors of 63243 and 63261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63243 and 63261.

How to find the GCF of 63243 and 63261?

We will first find the prime factorization of 63243 and 63261. After we will calculate the factors of 63243 and 63261 and find the biggest common factor number .

Step-1: Prime Factorization of 63243

Prime factors of 63243 are 3, 7027. Prime factorization of 63243 in exponential form is:

63243 = 3² × 7027¹

Step-2: Prime Factorization of 63261

Prime factors of 63261 are 3, 11, 71. Prime factorization of 63261 in exponential form is:

63261 = 3⁴ × 11¹ × 71¹

Step-3: Factors of 63243

List of positive integer factors of 63243 that divides 63243 without a remainder.

1, 3, 9, 7027, 21081

Step-4: Factors of 63261

List of positive integer factors of 63261 that divides 63243 without a remainder.

1, 3, 9, 11, 27, 33, 71, 81, 99, 213, 297, 639, 781, 891, 1917, 2343, 5751, 7029, 21087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63243 and 63261. The biggest common factor number is the GCF number.
So the greatest common factor 63243 and 63261 is 9.

Also check out the Least Common Multiple of 63243 and 63261