What is the Greatest Common Factor of 18410 and 18417?

Greatest common factor (GCF) of 18410 and 18417 is 7.

GCF(18410,18417) = 7

We will now calculate the prime factors of 18410 and 18417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18410 and 18417.

How to find the GCF of 18410 and 18417?

We will first find the prime factorization of 18410 and 18417. After we will calculate the factors of 18410 and 18417 and find the biggest common factor number .

Step-1: Prime Factorization of 18410

Prime factors of 18410 are 2, 5, 7, 263. Prime factorization of 18410 in exponential form is:

18410 = 2¹ × 5¹ × 7¹ × 263¹

Step-2: Prime Factorization of 18417

Prime factors of 18417 are 3, 7, 877. Prime factorization of 18417 in exponential form is:

18417 = 3¹ × 7¹ × 877¹

Step-3: Factors of 18410

List of positive integer factors of 18410 that divides 18410 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 263, 526, 1315, 1841, 2630, 3682, 9205

Step-4: Factors of 18417

List of positive integer factors of 18417 that divides 18410 without a remainder.

1, 3, 7, 21, 877, 2631, 6139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18410 and 18417. The biggest common factor number is the GCF number.
So the greatest common factor 18410 and 18417 is 7.

Also check out the Least Common Multiple of 18410 and 18417