What is the Greatest Common Factor of 63894 and 63903?

Greatest common factor (GCF) of 63894 and 63903 is 3.

GCF(63894,63903) = 3

We will now calculate the prime factors of 63894 and 63903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63894 and 63903.

How to find the GCF of 63894 and 63903?

We will first find the prime factorization of 63894 and 63903. After we will calculate the factors of 63894 and 63903 and find the biggest common factor number .

Step-1: Prime Factorization of 63894

Prime factors of 63894 are 2, 3, 23, 463. Prime factorization of 63894 in exponential form is:

63894 = 2¹ × 3¹ × 23¹ × 463¹

Step-2: Prime Factorization of 63903

Prime factors of 63903 are 3, 7, 17, 179. Prime factorization of 63903 in exponential form is:

63903 = 3¹ × 7¹ × 17¹ × 179¹

Step-3: Factors of 63894

List of positive integer factors of 63894 that divides 63894 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 463, 926, 1389, 2778, 10649, 21298, 31947

Step-4: Factors of 63903

List of positive integer factors of 63903 that divides 63894 without a remainder.

1, 3, 7, 17, 21, 51, 119, 179, 357, 537, 1253, 3043, 3759, 9129, 21301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63894 and 63903. The biggest common factor number is the GCF number.
So the greatest common factor 63894 and 63903 is 3.

Also check out the Least Common Multiple of 63894 and 63903