What is the Greatest Common Factor of 17474 and 17480?

Greatest common factor (GCF) of 17474 and 17480 is 2.

GCF(17474,17480) = 2

We will now calculate the prime factors of 17474 and 17480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17474 and 17480.

How to find the GCF of 17474 and 17480?

We will first find the prime factorization of 17474 and 17480. After we will calculate the factors of 17474 and 17480 and find the biggest common factor number .

Step-1: Prime Factorization of 17474

Prime factors of 17474 are 2, 8737. Prime factorization of 17474 in exponential form is:

17474 = 2¹ × 8737¹

Step-2: 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-3: Factors of 17474

List of positive integer factors of 17474 that divides 17474 without a remainder.

1, 2, 8737

Step-4: Factors of 17480

List of positive integer factors of 17480 that divides 17474 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17474 and 17480. The biggest common factor number is the GCF number.
So the greatest common factor 17474 and 17480 is 2.

Also check out the Least Common Multiple of 17474 and 17480