What is the Greatest Common Factor of 63441 and 63456?

Greatest common factor (GCF) of 63441 and 63456 is 3.

GCF(63441,63456) = 3

We will now calculate the prime factors of 63441 and 63456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63441 and 63456.

How to find the GCF of 63441 and 63456?

We will first find the prime factorization of 63441 and 63456. After we will calculate the factors of 63441 and 63456 and find the biggest common factor number .

Step-1: Prime Factorization of 63441

Prime factors of 63441 are 3, 7, 19, 53. Prime factorization of 63441 in exponential form is:

63441 = 3² × 7¹ × 19¹ × 53¹

Step-2: Prime Factorization of 63456

Prime factors of 63456 are 2, 3, 661. Prime factorization of 63456 in exponential form is:

63456 = 2⁵ × 3¹ × 661¹

Step-3: Factors of 63441

List of positive integer factors of 63441 that divides 63441 without a remainder.

1, 3, 7, 9, 19, 21, 53, 57, 63, 133, 159, 171, 371, 399, 477, 1007, 1113, 1197, 3021, 3339, 7049, 9063, 21147

Step-4: Factors of 63456

List of positive integer factors of 63456 that divides 63441 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 661, 1322, 1983, 2644, 3966, 5288, 7932, 10576, 15864, 21152, 31728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63441 and 63456. The biggest common factor number is the GCF number.
So the greatest common factor 63441 and 63456 is 3.

Also check out the Least Common Multiple of 63441 and 63456