What is the Greatest Common Factor of 63723 and 63728?

Greatest common factor (GCF) of 63723 and 63728 is 1.

GCF(63723,63728) = 1

We will now calculate the prime factors of 63723 and 63728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63723 and 63728.

How to find the GCF of 63723 and 63728?

We will first find the prime factorization of 63723 and 63728. After we will calculate the factors of 63723 and 63728 and find the biggest common factor number .

Step-1: Prime Factorization of 63723

Prime factors of 63723 are 3, 11, 1931. Prime factorization of 63723 in exponential form is:

63723 = 3¹ × 11¹ × 1931¹

Step-2: Prime Factorization of 63728

Prime factors of 63728 are 2, 7, 569. Prime factorization of 63728 in exponential form is:

63728 = 2⁴ × 7¹ × 569¹

Step-3: Factors of 63723

List of positive integer factors of 63723 that divides 63723 without a remainder.

1, 3, 11, 33, 1931, 5793, 21241

Step-4: Factors of 63728

List of positive integer factors of 63728 that divides 63723 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 569, 1138, 2276, 3983, 4552, 7966, 9104, 15932, 31864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63723 and 63728. The biggest common factor number is the GCF number.
So the greatest common factor 63723 and 63728 is 1.

Also check out the Least Common Multiple of 63723 and 63728