What is the Greatest Common Factor of 25606 and 25616?

Greatest common factor (GCF) of 25606 and 25616 is 2.

GCF(25606,25616) = 2

We will now calculate the prime factors of 25606 and 25616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25606 and 25616.

How to find the GCF of 25606 and 25616?

We will first find the prime factorization of 25606 and 25616. After we will calculate the factors of 25606 and 25616 and find the biggest common factor number .

Step-1: Prime Factorization of 25606

Prime factors of 25606 are 2, 7, 31, 59. Prime factorization of 25606 in exponential form is:

25606 = 2¹ × 7¹ × 31¹ × 59¹

Step-2: Prime Factorization of 25616

Prime factors of 25616 are 2, 1601. Prime factorization of 25616 in exponential form is:

25616 = 2⁴ × 1601¹

Step-3: Factors of 25606

List of positive integer factors of 25606 that divides 25606 without a remainder.

1, 2, 7, 14, 31, 59, 62, 118, 217, 413, 434, 826, 1829, 3658, 12803

Step-4: Factors of 25616

List of positive integer factors of 25616 that divides 25606 without a remainder.

1, 2, 4, 8, 16, 1601, 3202, 6404, 12808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25606 and 25616. The biggest common factor number is the GCF number.
So the greatest common factor 25606 and 25616 is 2.

Also check out the Least Common Multiple of 25606 and 25616