What is the Greatest Common Factor of 25606 and 25610?

Greatest common factor (GCF) of 25606 and 25610 is 2.

GCF(25606,25610) = 2

We will now calculate the prime factors of 25606 and 25610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25606 and 25610.

How to find the GCF of 25606 and 25610?

We will first find the prime factorization of 25606 and 25610. After we will calculate the factors of 25606 and 25610 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 25610

Prime factors of 25610 are 2, 5, 13, 197. Prime factorization of 25610 in exponential form is:

25610 = 2¹ × 5¹ × 13¹ × 197¹

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 25610

List of positive integer factors of 25610 that divides 25606 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 197, 394, 985, 1970, 2561, 5122, 12805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25606 and 25610. The biggest common factor number is the GCF number.
So the greatest common factor 25606 and 25610 is 2.

Also check out the Least Common Multiple of 25606 and 25610