What is the Greatest Common Factor of 63873 and 63888?

Greatest common factor (GCF) of 63873 and 63888 is 3.

GCF(63873,63888) = 3

We will now calculate the prime factors of 63873 and 63888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63873 and 63888.

How to find the GCF of 63873 and 63888?

We will first find the prime factorization of 63873 and 63888. After we will calculate the factors of 63873 and 63888 and find the biggest common factor number .

Step-1: Prime Factorization of 63873

Prime factors of 63873 are 3, 47, 151. Prime factorization of 63873 in exponential form is:

63873 = 3² × 47¹ × 151¹

Step-2: Prime Factorization of 63888

Prime factors of 63888 are 2, 3, 11. Prime factorization of 63888 in exponential form is:

63888 = 2⁴ × 3¹ × 11³

Step-3: Factors of 63873

List of positive integer factors of 63873 that divides 63873 without a remainder.

1, 3, 9, 47, 141, 151, 423, 453, 1359, 7097, 21291

Step-4: Factors of 63888

List of positive integer factors of 63888 that divides 63873 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1331, 1452, 1936, 2662, 2904, 3993, 5324, 5808, 7986, 10648, 15972, 21296, 31944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63873 and 63888. The biggest common factor number is the GCF number.
So the greatest common factor 63873 and 63888 is 3.

Also check out the Least Common Multiple of 63873 and 63888