What is the Greatest Common Factor of 25160 and 25173?

Greatest common factor (GCF) of 25160 and 25173 is 1.

GCF(25160,25173) = 1

We will now calculate the prime factors of 25160 and 25173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25160 and 25173.

How to find the GCF of 25160 and 25173?

We will first find the prime factorization of 25160 and 25173. After we will calculate the factors of 25160 and 25173 and find the biggest common factor number .

Step-1: Prime Factorization of 25160

Prime factors of 25160 are 2, 5, 17, 37. Prime factorization of 25160 in exponential form is:

25160 = 2³ × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 25173

Prime factors of 25173 are 3, 2797. Prime factorization of 25173 in exponential form is:

25173 = 3² × 2797¹

Step-3: Factors of 25160

List of positive integer factors of 25160 that divides 25160 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 37, 40, 68, 74, 85, 136, 148, 170, 185, 296, 340, 370, 629, 680, 740, 1258, 1480, 2516, 3145, 5032, 6290, 12580

Step-4: Factors of 25173

List of positive integer factors of 25173 that divides 25160 without a remainder.

1, 3, 9, 2797, 8391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25160 and 25173. The biggest common factor number is the GCF number.
So the greatest common factor 25160 and 25173 is 1.

Also check out the Least Common Multiple of 25160 and 25173