What is the Greatest Common Factor of 25776 and 25792?

Greatest common factor (GCF) of 25776 and 25792 is 16.

GCF(25776,25792) = 16

We will now calculate the prime factors of 25776 and 25792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25776 and 25792.

How to find the GCF of 25776 and 25792?

We will first find the prime factorization of 25776 and 25792. After we will calculate the factors of 25776 and 25792 and find the biggest common factor number .

Step-1: Prime Factorization of 25776

Prime factors of 25776 are 2, 3, 179. Prime factorization of 25776 in exponential form is:

25776 = 2⁴ × 3² × 179¹

Step-2: Prime Factorization of 25792

Prime factors of 25792 are 2, 13, 31. Prime factorization of 25792 in exponential form is:

25792 = 2⁶ × 13¹ × 31¹

Step-3: Factors of 25776

List of positive integer factors of 25776 that divides 25776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 179, 358, 537, 716, 1074, 1432, 1611, 2148, 2864, 3222, 4296, 6444, 8592, 12888

Step-4: Factors of 25792

List of positive integer factors of 25792 that divides 25776 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 64, 104, 124, 208, 248, 403, 416, 496, 806, 832, 992, 1612, 1984, 3224, 6448, 12896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25776 and 25792. The biggest common factor number is the GCF number.
So the greatest common factor 25776 and 25792 is 16.

Also check out the Least Common Multiple of 25776 and 25792