What is the Greatest Common Factor of 25160 and 25175?

Greatest common factor (GCF) of 25160 and 25175 is 5.

GCF(25160,25175) = 5

We will now calculate the prime factors of 25160 and 25175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25160 and 25175.

How to find the GCF of 25160 and 25175?

We will first find the prime factorization of 25160 and 25175. After we will calculate the factors of 25160 and 25175 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 25175

Prime factors of 25175 are 5, 19, 53. Prime factorization of 25175 in exponential form is:

25175 = 5² × 19¹ × 53¹

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 25175

List of positive integer factors of 25175 that divides 25160 without a remainder.

1, 5, 19, 25, 53, 95, 265, 475, 1007, 1325, 5035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25160 and 25175. The biggest common factor number is the GCF number.
So the greatest common factor 25160 and 25175 is 5.

Also check out the Least Common Multiple of 25160 and 25175