What is the Greatest Common Factor of 17225 and 17240?

Greatest common factor (GCF) of 17225 and 17240 is 5.

GCF(17225,17240) = 5

We will now calculate the prime factors of 17225 and 17240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17225 and 17240.

How to find the GCF of 17225 and 17240?

We will first find the prime factorization of 17225 and 17240. After we will calculate the factors of 17225 and 17240 and find the biggest common factor number .

Step-1: Prime Factorization of 17225

Prime factors of 17225 are 5, 13, 53. Prime factorization of 17225 in exponential form is:

17225 = 5² × 13¹ × 53¹

Step-2: Prime Factorization of 17240

Prime factors of 17240 are 2, 5, 431. Prime factorization of 17240 in exponential form is:

17240 = 2³ × 5¹ × 431¹

Step-3: Factors of 17225

List of positive integer factors of 17225 that divides 17225 without a remainder.

1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445

Step-4: Factors of 17240

List of positive integer factors of 17240 that divides 17225 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17225 and 17240. The biggest common factor number is the GCF number.
So the greatest common factor 17225 and 17240 is 5.

Also check out the Least Common Multiple of 17225 and 17240