What is the Greatest Common Factor of 25575 and 25580?

Greatest common factor (GCF) of 25575 and 25580 is 5.

GCF(25575,25580) = 5

We will now calculate the prime factors of 25575 and 25580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25575 and 25580.

How to find the GCF of 25575 and 25580?

We will first find the prime factorization of 25575 and 25580. After we will calculate the factors of 25575 and 25580 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 25580

Prime factors of 25580 are 2, 5, 1279. Prime factorization of 25580 in exponential form is:

25580 = 2² × 5¹ × 1279¹

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 25580

List of positive integer factors of 25580 that divides 25575 without a remainder.

1, 2, 4, 5, 10, 20, 1279, 2558, 5116, 6395, 12790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25575 and 25580. The biggest common factor number is the GCF number.
So the greatest common factor 25575 and 25580 is 5.

Also check out the Least Common Multiple of 25575 and 25580