What is the Greatest Common Factor of 25776 and 25784?

Greatest common factor (GCF) of 25776 and 25784 is 8.

GCF(25776,25784) = 8

We will now calculate the prime factors of 25776 and 25784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25776 and 25784.

How to find the GCF of 25776 and 25784?

We will first find the prime factorization of 25776 and 25784. After we will calculate the factors of 25776 and 25784 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 25784

Prime factors of 25784 are 2, 11, 293. Prime factorization of 25784 in exponential form is:

25784 = 2³ × 11¹ × 293¹

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 25784

List of positive integer factors of 25784 that divides 25776 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 293, 586, 1172, 2344, 3223, 6446, 12892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25776 and 25784. The biggest common factor number is the GCF number.
So the greatest common factor 25776 and 25784 is 8.

Also check out the Least Common Multiple of 25776 and 25784