What is the Greatest Common Factor of 25575 and 25586?

Greatest common factor (GCF) of 25575 and 25586 is 11.

GCF(25575,25586) = 11

We will now calculate the prime factors of 25575 and 25586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25575 and 25586.

How to find the GCF of 25575 and 25586?

We will first find the prime factorization of 25575 and 25586. After we will calculate the factors of 25575 and 25586 and find the biggest common factor number .

Step-1: Prime Factorization of 25575

Prime factors of 25575 are 3, 5, 11, 31. Prime factorization of 25575 in exponential form is:

25575 = 3¹ × 5² × 11¹ × 31¹

Step-2: 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-3: Factors of 25575

List of positive integer factors of 25575 that divides 25575 without a remainder.

1, 3, 5, 11, 15, 25, 31, 33, 55, 75, 93, 155, 165, 275, 341, 465, 775, 825, 1023, 1705, 2325, 5115, 8525

Step-4: Factors of 25586

List of positive integer factors of 25586 that divides 25575 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25575 and 25586. The biggest common factor number is the GCF number.
So the greatest common factor 25575 and 25586 is 11.

Also check out the Least Common Multiple of 25575 and 25586