What is the Greatest Common Factor of 25696 and 25707?

Greatest common factor (GCF) of 25696 and 25707 is 11.

GCF(25696,25707) = 11

We will now calculate the prime factors of 25696 and 25707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25696 and 25707.

How to find the GCF of 25696 and 25707?

We will first find the prime factorization of 25696 and 25707. After we will calculate the factors of 25696 and 25707 and find the biggest common factor number .

Step-1: Prime Factorization of 25696

Prime factors of 25696 are 2, 11, 73. Prime factorization of 25696 in exponential form is:

25696 = 2⁵ × 11¹ × 73¹

Step-2: Prime Factorization of 25707

Prime factors of 25707 are 3, 11, 19, 41. Prime factorization of 25707 in exponential form is:

25707 = 3¹ × 11¹ × 19¹ × 41¹

Step-3: Factors of 25696

List of positive integer factors of 25696 that divides 25696 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 73, 88, 146, 176, 292, 352, 584, 803, 1168, 1606, 2336, 3212, 6424, 12848

Step-4: Factors of 25707

List of positive integer factors of 25707 that divides 25696 without a remainder.

1, 3, 11, 19, 33, 41, 57, 123, 209, 451, 627, 779, 1353, 2337, 8569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25696 and 25707. The biggest common factor number is the GCF number.
So the greatest common factor 25696 and 25707 is 11.

Also check out the Least Common Multiple of 25696 and 25707