What is the Greatest Common Factor of 17290 and 17300?

Greatest common factor (GCF) of 17290 and 17300 is 10.

GCF(17290,17300) = 10

We will now calculate the prime factors of 17290 and 17300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17290 and 17300.

How to find the GCF of 17290 and 17300?

We will first find the prime factorization of 17290 and 17300. After we will calculate the factors of 17290 and 17300 and find the biggest common factor number .

Step-1: Prime Factorization of 17290

Prime factors of 17290 are 2, 5, 7, 13, 19. Prime factorization of 17290 in exponential form is:

17290 = 2¹ × 5¹ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 17300

Prime factors of 17300 are 2, 5, 173. Prime factorization of 17300 in exponential form is:

17300 = 2² × 5² × 173¹

Step-3: Factors of 17290

List of positive integer factors of 17290 that divides 17290 without a remainder.

1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645

Step-4: Factors of 17300

List of positive integer factors of 17300 that divides 17290 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 173, 346, 692, 865, 1730, 3460, 4325, 8650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17290 and 17300. The biggest common factor number is the GCF number.
So the greatest common factor 17290 and 17300 is 10.

Also check out the Least Common Multiple of 17290 and 17300