What is the Greatest Common Factor of 18410 and 18424?

Greatest common factor (GCF) of 18410 and 18424 is 14.

GCF(18410,18424) = 14

We will now calculate the prime factors of 18410 and 18424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18410 and 18424.

How to find the GCF of 18410 and 18424?

We will first find the prime factorization of 18410 and 18424. After we will calculate the factors of 18410 and 18424 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 18424

Prime factors of 18424 are 2, 7, 47. Prime factorization of 18424 in exponential form is:

18424 = 2³ × 7² × 47¹

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 18424

List of positive integer factors of 18424 that divides 18410 without a remainder.

1, 2, 4, 7, 8, 14, 28, 47, 49, 56, 94, 98, 188, 196, 329, 376, 392, 658, 1316, 2303, 2632, 4606, 9212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18410 and 18424. The biggest common factor number is the GCF number.
So the greatest common factor 18410 and 18424 is 14.

Also check out the Least Common Multiple of 18410 and 18424