What is the Greatest Common Factor of 17461 and 17480?

Greatest common factor (GCF) of 17461 and 17480 is 19.

GCF(17461,17480) = 19

We will now calculate the prime factors of 17461 and 17480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17461 and 17480.

How to find the GCF of 17461 and 17480?

We will first find the prime factorization of 17461 and 17480. After we will calculate the factors of 17461 and 17480 and find the biggest common factor number .

Step-1: Prime Factorization of 17461

Prime factors of 17461 are 19, 919. Prime factorization of 17461 in exponential form is:

17461 = 19¹ × 919¹

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 17461

List of positive integer factors of 17461 that divides 17461 without a remainder.

1, 19, 919

Step-4: Factors of 17480

List of positive integer factors of 17480 that divides 17461 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 17461 and 17480. The biggest common factor number is the GCF number.
So the greatest common factor 17461 and 17480 is 19.

Also check out the Least Common Multiple of 17461 and 17480