What is the Greatest Common Factor of 25723 and 25728?

Greatest common factor (GCF) of 25723 and 25728 is 1.

GCF(25723,25728) = 1

We will now calculate the prime factors of 25723 and 25728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25723 and 25728.

How to find the GCF of 25723 and 25728?

We will first find the prime factorization of 25723 and 25728. After we will calculate the factors of 25723 and 25728 and find the biggest common factor number .

Step-1: Prime Factorization of 25723

Prime factors of 25723 are 29, 887. Prime factorization of 25723 in exponential form is:

25723 = 29¹ × 887¹

Step-2: Prime Factorization of 25728

Prime factors of 25728 are 2, 3, 67. Prime factorization of 25728 in exponential form is:

25728 = 2⁷ × 3¹ × 67¹

Step-3: Factors of 25723

List of positive integer factors of 25723 that divides 25723 without a remainder.

1, 29, 887

Step-4: Factors of 25728

List of positive integer factors of 25728 that divides 25723 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 67, 96, 128, 134, 192, 201, 268, 384, 402, 536, 804, 1072, 1608, 2144, 3216, 4288, 6432, 8576, 12864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25723 and 25728. The biggest common factor number is the GCF number.
So the greatest common factor 25723 and 25728 is 1.

Also check out the Least Common Multiple of 25723 and 25728