What is the Greatest Common Factor of 17230 and 17240?

Greatest common factor (GCF) of 17230 and 17240 is 10.

GCF(17230,17240) = 10

We will now calculate the prime factors of 17230 and 17240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17230 and 17240.

How to find the GCF of 17230 and 17240?

We will first find the prime factorization of 17230 and 17240. After we will calculate the factors of 17230 and 17240 and find the biggest common factor number .

Step-1: Prime Factorization of 17230

Prime factors of 17230 are 2, 5, 1723. Prime factorization of 17230 in exponential form is:

17230 = 2¹ × 5¹ × 1723¹

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 17230

List of positive integer factors of 17230 that divides 17230 without a remainder.

1, 2, 5, 10, 1723, 3446, 8615

Step-4: Factors of 17240

List of positive integer factors of 17240 that divides 17230 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 17230 and 17240. The biggest common factor number is the GCF number.
So the greatest common factor 17230 and 17240 is 10.

Also check out the Least Common Multiple of 17230 and 17240