What is the Greatest Common Factor of 25585 and 25592?

Greatest common factor (GCF) of 25585 and 25592 is 7.

GCF(25585,25592) = 7

We will now calculate the prime factors of 25585 and 25592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25585 and 25592.

How to find the GCF of 25585 and 25592?

We will first find the prime factorization of 25585 and 25592. After we will calculate the factors of 25585 and 25592 and find the biggest common factor number .

Step-1: Prime Factorization of 25585

Prime factors of 25585 are 5, 7, 17, 43. Prime factorization of 25585 in exponential form is:

25585 = 5¹ × 7¹ × 17¹ × 43¹

Step-2: Prime Factorization of 25592

Prime factors of 25592 are 2, 7, 457. Prime factorization of 25592 in exponential form is:

25592 = 2³ × 7¹ × 457¹

Step-3: Factors of 25585

List of positive integer factors of 25585 that divides 25585 without a remainder.

1, 5, 7, 17, 35, 43, 85, 119, 215, 301, 595, 731, 1505, 3655, 5117

Step-4: Factors of 25592

List of positive integer factors of 25592 that divides 25585 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 457, 914, 1828, 3199, 3656, 6398, 12796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25585 and 25592. The biggest common factor number is the GCF number.
So the greatest common factor 25585 and 25592 is 7.

Also check out the Least Common Multiple of 25585 and 25592