What is the Greatest Common Factor of 25586 and 25599?

Greatest common factor (GCF) of 25586 and 25599 is 1.

GCF(25586,25599) = 1

We will now calculate the prime factors of 25586 and 25599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25586 and 25599.

How to find the GCF of 25586 and 25599?

We will first find the prime factorization of 25586 and 25599. After we will calculate the factors of 25586 and 25599 and find the biggest common factor number .

Step-1: Prime Factorization of 25586

Prime factors of 25586 are 2, 11, 1163. Prime factorization of 25586 in exponential form is:

25586 = 2¹ × 11¹ × 1163¹

Step-2: Prime Factorization of 25599

Prime factors of 25599 are 3, 7, 23, 53. Prime factorization of 25599 in exponential form is:

25599 = 3¹ × 7¹ × 23¹ × 53¹

Step-3: Factors of 25586

List of positive integer factors of 25586 that divides 25586 without a remainder.

1, 2, 11, 22, 1163, 2326, 12793

Step-4: Factors of 25599

List of positive integer factors of 25599 that divides 25586 without a remainder.

1, 3, 7, 21, 23, 53, 69, 159, 161, 371, 483, 1113, 1219, 3657, 8533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25586 and 25599. The biggest common factor number is the GCF number.
So the greatest common factor 25586 and 25599 is 1.

Also check out the Least Common Multiple of 25586 and 25599