What is the Greatest Common Factor of 63369 and 63384?

Greatest common factor (GCF) of 63369 and 63384 is 3.

GCF(63369,63384) = 3

We will now calculate the prime factors of 63369 and 63384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63369 and 63384.

How to find the GCF of 63369 and 63384?

We will first find the prime factorization of 63369 and 63384. After we will calculate the factors of 63369 and 63384 and find the biggest common factor number .

Step-1: Prime Factorization of 63369

Prime factors of 63369 are 3, 2347. Prime factorization of 63369 in exponential form is:

63369 = 3³ × 2347¹

Step-2: Prime Factorization of 63384

Prime factors of 63384 are 2, 3, 19, 139. Prime factorization of 63384 in exponential form is:

63384 = 2³ × 3¹ × 19¹ × 139¹

Step-3: Factors of 63369

List of positive integer factors of 63369 that divides 63369 without a remainder.

1, 3, 9, 27, 2347, 7041, 21123

Step-4: Factors of 63384

List of positive integer factors of 63384 that divides 63369 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 139, 152, 228, 278, 417, 456, 556, 834, 1112, 1668, 2641, 3336, 5282, 7923, 10564, 15846, 21128, 31692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63369 and 63384. The biggest common factor number is the GCF number.
So the greatest common factor 63369 and 63384 is 3.

Also check out the Least Common Multiple of 63369 and 63384