What is the Greatest Common Factor of 25712 and 25728?

Greatest common factor (GCF) of 25712 and 25728 is 16.

GCF(25712,25728) = 16

We will now calculate the prime factors of 25712 and 25728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25712 and 25728.

How to find the GCF of 25712 and 25728?

We will first find the prime factorization of 25712 and 25728. After we will calculate the factors of 25712 and 25728 and find the biggest common factor number .

Step-1: Prime Factorization of 25712

Prime factors of 25712 are 2, 1607. Prime factorization of 25712 in exponential form is:

25712 = 2⁴ × 1607¹

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 25712

List of positive integer factors of 25712 that divides 25712 without a remainder.

1, 2, 4, 8, 16, 1607, 3214, 6428, 12856

Step-4: Factors of 25728

List of positive integer factors of 25728 that divides 25712 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 25712 and 25728. The biggest common factor number is the GCF number.
So the greatest common factor 25712 and 25728 is 16.

Also check out the Least Common Multiple of 25712 and 25728