What is the Greatest Common Factor of 18450 and 18460?

Greatest common factor (GCF) of 18450 and 18460 is 10.

GCF(18450,18460) = 10

We will now calculate the prime factors of 18450 and 18460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18450 and 18460.

How to find the GCF of 18450 and 18460?

We will first find the prime factorization of 18450 and 18460. After we will calculate the factors of 18450 and 18460 and find the biggest common factor number .

Step-1: Prime Factorization of 18450

Prime factors of 18450 are 2, 3, 5, 41. Prime factorization of 18450 in exponential form is:

18450 = 2¹ × 3² × 5² × 41¹

Step-2: Prime Factorization of 18460

Prime factors of 18460 are 2, 5, 13, 71. Prime factorization of 18460 in exponential form is:

18460 = 2² × 5¹ × 13¹ × 71¹

Step-3: Factors of 18450

List of positive integer factors of 18450 that divides 18450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 41, 45, 50, 75, 82, 90, 123, 150, 205, 225, 246, 369, 410, 450, 615, 738, 1025, 1230, 1845, 2050, 3075, 3690, 6150, 9225

Step-4: Factors of 18460

List of positive integer factors of 18460 that divides 18450 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 71, 130, 142, 260, 284, 355, 710, 923, 1420, 1846, 3692, 4615, 9230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18450 and 18460. The biggest common factor number is the GCF number.
So the greatest common factor 18450 and 18460 is 10.

Also check out the Least Common Multiple of 18450 and 18460