What is the Greatest Common Factor of 17480 and 17499?

Greatest common factor (GCF) of 17480 and 17499 is 19.

GCF(17480,17499) = 19

We will now calculate the prime factors of 17480 and 17499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17480 and 17499.

How to find the GCF of 17480 and 17499?

We will first find the prime factorization of 17480 and 17499. After we will calculate the factors of 17480 and 17499 and find the biggest common factor number .

Step-1: Prime Factorization of 17480

Prime factors of 17480 are 2, 5, 19, 23. Prime factorization of 17480 in exponential form is:

17480 = 2³ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 17499

Prime factors of 17499 are 3, 19, 307. Prime factorization of 17499 in exponential form is:

17499 = 3¹ × 19¹ × 307¹

Step-3: Factors of 17480

List of positive integer factors of 17480 that divides 17480 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 23, 38, 40, 46, 76, 92, 95, 115, 152, 184, 190, 230, 380, 437, 460, 760, 874, 920, 1748, 2185, 3496, 4370, 8740

Step-4: Factors of 17499

List of positive integer factors of 17499 that divides 17480 without a remainder.

1, 3, 19, 57, 307, 921, 5833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17480 and 17499. The biggest common factor number is the GCF number.
So the greatest common factor 17480 and 17499 is 19.

Also check out the Least Common Multiple of 17480 and 17499